Questions on Geometry: Pythagorean theorem answered by real tutors!

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Question 57391: x^2+(x+21)^2=(x+24)^2
Click here to see answer by Nate(3500) About Me 

Question 57915: The length of one leg of a right triangle is 24 ft. The length of the other leg is 16 ft. shorter than the hypotenuse. Find the length of the hypotenuse and the other leg. Would it be (x-16)^2+24^2=x?? If it is, I'm not quite sure how to solve that.
Click here to see answer by funmath(2933) About Me 

Question 61068: Given a right angle with a=3 and c=11,find b to three decimal places
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Question 61142: A 15FT LADDER LEANS AGAINST A BULIDING. THE BOTTOM OF THE LADDER IS 7FT FROM THE BUILDING.HOW HIGH IS THE TOP OF THE LADDER?ROUND TO 2 DECIMAL PLACES.
Click here to see answer by stanbon(75887) About Me 
Question 61142: A 15FT LADDER LEANS AGAINST A BULIDING. THE BOTTOM OF THE LADDER IS 7FT FROM THE BUILDING.HOW HIGH IS THE TOP OF THE LADDER?ROUND TO 2 DECIMAL PLACES.
Click here to see answer by asha(30) About Me 
Question 61142: A 15FT LADDER LEANS AGAINST A BULIDING. THE BOTTOM OF THE LADDER IS 7FT FROM THE BUILDING.HOW HIGH IS THE TOP OF THE LADDER?ROUND TO 2 DECIMAL PLACES.
Click here to see answer by jai_kos(139) About Me 

Question 61445: A right triangle has legs of lengths 6 and 8. the altitude to the hypotenuse has length BLANK.
Click here to see answer by funmath(2933) About Me 

Question 62354: Right angle triangle that has a line drawn parallel to the base line of the triangle.
The top angle of the triangle is A, the right angle is B, and the last angle is C. There is a line about 2/3 of the way down between A and B, creating D.
This line segment will be called DE it runs parallel to BC.
AD=4, DB=2, BC=8. I figured out that AC=10 using the pythagorean theorem. But I can't figure out how to get DE or AE or EC. I've tried all sorts of equations and can't come up with an answer.

Click here to see answer by venugopalramana(3286) About Me 

Question 62930: A right triangle is a triangle with one angle measuring 90 degree. In a right triangle, the sides are related by the Pythagorean Theorem, c^2 = a^2 + b^2 where c is the hypotenuse (the side opposite the 90 degree angle). Find the hypotenuse when the other 2 sides' measurements are 3 feet and 4 feet.
Click here to see answer by checkley71(8403) About Me 

Question 63760: I am currently taking elementary algebra and our instuctor gave us a handout w/3 questions on it. I had never even heard of Pythagorean anything and we have not discussed it in class. Please help me:
Show that the following 3 points form a right triangle. Use the distance formula & Pythagorean formula.
(-1.6, 3.8), (-6, -5), (-6, 6)

Click here to see answer by praseenakos@yahoo.com(507) About Me 

Question 63917: Please I need help with this Question using Pythagorean theorem and expressing my answer in the simplest radical form. The triangle I am trying to solve from has a 90 degree angle, a 30 degree angle, and a 60 degree angle. On the side of the 60 degree angle the length of the leg is 10. Now, I have to find the hypotenuse and the length of the other leg, with my anwer in simplest radical form. All I know is a%5E2%2B10%5E2=c%5E2 and I have to solve for a & c , but I haven't the slightest clue where to go from there. Can someone please please help???
Click here to see answer by rajagopalan(174) About Me 
Question 63917: Please I need help with this Question using Pythagorean theorem and expressing my answer in the simplest radical form. The triangle I am trying to solve from has a 90 degree angle, a 30 degree angle, and a 60 degree angle. On the side of the 60 degree angle the length of the leg is 10. Now, I have to find the hypotenuse and the length of the other leg, with my anwer in simplest radical form. All I know is a%5E2%2B10%5E2=c%5E2 and I have to solve for a & c , but I haven't the slightest clue where to go from there. Can someone please please help???
Click here to see answer by tanimachatterjee(60) About Me 

Question 63928: (-2,1) and (5,-6) solve using the pythagorean theorem
I have tried
d= the square root of (x-x)^2+(y-y)^2
d= the square root of (-2-5)^2+(1-6)^2
d= the square root of (-7)^2+(-5)^2
d= the square root of 49+25
d= the square root of 74
i know this is wrong, especially since i'm supposed to solve using the pythagorean theorem! Please help--thank you!

Click here to see answer by Edwin McCravy(20054) About Me 

Question 63930: Please, Im stuck and can't seem to get this right I'm in an Algebra class and need help with this problem. Given a right angle triangle with b=10 find, a and c to the simplest radical form. Please please please help.
Click here to see answer by joyofmath(189) About Me 
Question 63930: Please, Im stuck and can't seem to get this right I'm in an Algebra class and need help with this problem. Given a right angle triangle with b=10 find, a and c to the simplest radical form. Please please please help.
Click here to see answer by stanbon(75887) About Me 

Question 63888: How do you solve for pythagorean theorem?
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Question 64738: can you please help me??
There is this question in my homework i don't get....
This is it.....
Write three Pythagorean properties.
i have no idea what she wants us to answer.....please help me!!!

Click here to see answer by stanbon(75887) About Me 

Question 65021: Hello! I am currently doing a project for an Environmental Science class. We are studying ways to save energy. I have been asked to give the measurements of my home.
I am running into a problem when I try to give the area of the walls and also the area of the ceilings (total). I have 1,100 square feet in my home. It would not be so bad if I had just all 8 ft. ceilings. However, in the 18x13 living room I have a vaulted ceiling reaching 13 feet. (All of the other rooms have 8ft.) I am sure I am just making this difficult. I need to use the Pythagorean Theorem to figure this out, but seem to come up with answers that do not make sense.
Can you help?

Click here to see answer by 303795(602) About Me 

Question 65194: (2x-1)^2+(x)^2=(2x+1)^2
Click here to see answer by tanimachatterjee(60) About Me 

Question 65192: (x-6)^2+(x)^2=30^2
Click here to see answer by funmath(2933) About Me 

Question 65195: (x)^2+(1)^1=(x)^2
Click here to see answer by funmath(2933) About Me 

Question 67102: I usually am good at this kind of problem, but this one tripped me up a bit! I would really appreciate your help. The question is as follows:
The area of a right triangle is 2. The sum of the length of the two sides adjacent to the right angle is 10. What is the length of the hypoteneuse of the triangle?

Click here to see answer by Nate(3500) About Me 

Question 68566: The legs in a right triangle equal 3x and 20. The hypotenuse of the triangle is 4x-1. Find the value of x.
Click here to see answer by funmath(2933) About Me 
Question 68566: The legs in a right triangle equal 3x and 20. The hypotenuse of the triangle is 4x-1. Find the value of x.
Click here to see answer by Edwin McCravy(20054) About Me 

Question 68838: The lawn in front of Kermit Middle School is in the shape of a rectangle 30 yd long and 16 yd wide. How much shorter is your walk if you walk diagonally across the lawn rather than along two sides of it?
Click here to see answer by Zoop(21) About Me 

Question 70500: Find the legs of an isosolese triangle if the perimeter is 32 and the altitude to the base is 8.
Click here to see answer by checkley75(3666) About Me 
Question 70500: Find the legs of an isosolese triangle if the perimeter is 32 and the altitude to the base is 8.
Click here to see answer by venugopalramana(3286) About Me 

Question 70512: in my math class we are supposed to figure out a shorter distance betwen two places in our house using the Pythagorean Theorem.
1) you must decide on two destinations in your house where you must walk from one room to another. These rooms cannont be straight across from each other for the project to be applicable
2)you must draw a neat diagram of this path, showing which way you would walk
3)you must measure the distance walked from one to the other.
4) finally, you must use the Pythagorean Theorem to figure out how far it would be to walk straight from one room to the other without walls.

I measured the distance betwen my two rooms. one way was 19.1 ft. down a hallway then you go left 12.4 ft. and your into the next room. I need help figuring out how to use the Pythagorean Theorem to find out what the
measurments would be if you would just go straight???? please help me the project is due tomarrow
Thank you

Click here to see answer by stanbon(75887) About Me 

Question 70503: The lengths of diagonals of a rhombus are in the ratio 2:1. If the perimeter of the rhombus is 20, find the sum of the lengths of the diagonals.
I know that each side is 5. ( 20/4=5)
I know the diagonals are perpendicular to each other.

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 70816: Lotsafun Amusement Park has a new ride, th Sky Breaker. The starting and ending points of the ride are seperated by 1000 meters. The tram cars glide along a cable that rises at a 45 degree angle from the ground until it reaches a height of 15 meters. The cable runs parallel to the ground for most of the ride, eventually sloping down again at a 45 degree angle with the ground. How long to the nearesttenth of a meter, is the cable for the Sky Breaker ride?
Click here to see answer by stanbon(75887) About Me 

Question 71503: Steven and Corinne each have GPS units for determining their precis positions. While starting from the same location, Steven heads off in a northeast direction for 180 meters and Corrine heads off in a northwest direction for 350 meters. How far apart are Steven and Corrine?
A 292.4 m
B 330.5 m
C 381.5 m
D 393.6 m
When I tried this problem, I drew a triangle out that was like this (please ignore the dashes and periods.....i put them there so all those spaces would be there and it would look like a triangle):

?
-\------------------|
--\.................|
----\...............|
------\.............| 180
350------\..........|
------------\.......|
---------------\....|
------------------\.|
--------------------\
I then used pythagorean theorem:
a^2+b^2=c^2
180^2+b^2=350^2
32400+b^2=122500
122500-32400=b^2
90100=b^2
300.16662039607268763449850971101=b
If there was an answer that was anywhere near that, I would assume that, but there is no answer less than nine numbers away from my answer.
Please help me!

Click here to see answer by galactus(183) About Me 

Question 71488: I am having some problems with a paper that's objective is "To use the Pythagorean Theorem to solve real-life problems." There is one specific problem I am having trouble with. It reads:
A 65-foot tree is cut to a level of 3 feet from the ground. The fallen tree collapses against another tree that is 18 feet away. About how far off the ground does the fallen tree touch the second tree?
The answer choices are:
F 47.8 ft
G 48.7 ft
H 53.9 ft
J 62.3 ft
For some reason and somehow I keep getting 18.3 but apparently I don't have the right answer. Maybe I am setting it up wrong. Please help because my teacher keeps on telling me the same thing when I ask her about this question.
Please Help!!!

Click here to see answer by galactus(183) About Me 

Question 72114: A cylindrical can is just big enough to hold three tennis balls. The radius of a tennis ball is 5 cm. What is the volume of air that surrounds the tennis balls?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 72554: 6) A right triangle is a triangle with one angle measuring 90°. In a right triangle, the sides are related by Pythagorean Theorem, where c is the hypotenuse (the side opposite the 90° angle). Find the hypotenuse when the other 2 sides’ measurements are 3 feet and 4 feet.
Answer:
Show work in this space

Click here to see answer by checkley75(3666) About Me 
Question 72554: 6) A right triangle is a triangle with one angle measuring 90°. In a right triangle, the sides are related by Pythagorean Theorem, where c is the hypotenuse (the side opposite the 90° angle). Find the hypotenuse when the other 2 sides’ measurements are 3 feet and 4 feet.
Answer:
Show work in this space

Click here to see answer by elima(1433) About Me 

Question 72587: a right triangle the sides are related by pythagorean theorem, c^2=a^2+b^2 where c is the hypotenuse . find the hypotenuse when the other 2 sides measurements are 3 feet and 4 feet show work please
Click here to see answer by stanbon(75887) About Me 

Question 72569: Suppose you travel north for 35 kilometers then travel east 65 kilometers. How far are you from your starting point? North and east can be considered the directions of the y- and x-axis respectively. Round to the tenth's place.
Answer:
Show work in this space.

Click here to see answer by bucky(2189) About Me 

Question 72695: a right triangle being one angle measuring 90 degrees. in a right triangle, the sides are related by Pythagorean,c^=a^+b^ where c is the hypotenuse. Find the hypotenuse when the other 2 sides measurements are 3 feet and 4 feet.
Click here to see answer by 11235813213455(2) About Me 

Question 73452: For the home described in exercise 15, if the roof is 7 m from peak to
eave and the attic space is 3 m high at the peak, how long does each of the pieces
of insulation need to be? Round to the nearest tenth.
May you please show your work

Click here to see answer by bucky(2189) About Me 

Question 74233: If a=5 and b=6, c=?

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Question 74813: Two ships leave port at the same time. One sails south at 15 mi/h and the other sails east at 20 mi/h. Find the function that models the distance (D) between the ships in terms of the time [(t) in hours] elapsed since their departure.
Click here to see answer by bucky(2189) About Me 

Question 74891: I can't seem to figure out the formula for the following word question. Can you assist? A homeowner wishes t insulate her attic with fiberglass insulation to conserve energy. This insulation comes in 40-cm wide rolls that are cut to fit between the rafters in the attic. If the roof is 6m from peak to eve and the attic space is 2m high at the peak, how long does each of the pieces of insulation need to be?
This is from Basic Algebra as pictured in some of the other questions

Click here to see answer by bucky(2189) About Me 

Question 75590: what is a pythagorean theorem?
what is one proof?
one example of pythagorean theorem?

Click here to see answer by Edwin McCravy(20054) About Me 
Question 75590: what is a pythagorean theorem?
what is one proof?
one example of pythagorean theorem?

Click here to see answer by jim_thompson5910(35256) About Me 

Question 75483: The question is:
A right triangle has legs of length 5 inches and 12 inches.
A.) Fine the area of a square drawn on the hypotenuse of the triangle.
B.) What is the length of the hypotenuse?

Click here to see answer by ankor@dixie-net.com(22740) About Me