Questions on Geometry: Pythagorean theorem answered by real tutors!

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Tutors Answer Your Questions about Pythagorean-theorem (FREE)


Question 148741: Hypotenuse of right angle is 60 cm. if the leg is five cm longer than the other leg, what is lenght of the legs.
I know the formula is c^2= a^2 + b^2
60^2= x^2 + (x+5)^2
60^2= x^2 + x^2 +10x +25
3600= 2x^2 + 10x + 25
Now what are we solving 4 x?

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Question 148953: Greg is making a bike ramp in the shape of a right triangle. The base of the ramp is 4 inches more than twice its height, and the length of the incline is 4 inches less than three times its height. How high is the ramp? My question is in setting up the problem-do I have 2x+4 and 3x-4 for the formula c2=a2 + b2?
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Question 150498: Are there any other shapes that can be formed of the side of the side of the triangle besides squares that can complete the formula for example a hexagon? I have use a circle and that works if you use the length of the sides as the diameters. I think this is because of the square in the r2 is essentially the same as Pythagoras.
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Question 150635: the length of a leg of a right triangle is two times the length of the other, and the hypotenuse is 25.What is the length of the longer leg?

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Question 155822: how will you factor 2x^2-178x-14280=0
(2x ) (x ) << I cant find the factors

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Question 156438: The length of rectangle is 3 cm more than 3 times the width and 1 cm less than the length of a
diagonal. Find the length of the rectangle

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Question 157689: A= 4B
B= ?
C= B-20
What is B equal to.

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Question 160202: how do i use the Pythagorean theorem to show how the distance formula was derived.
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Question 161189: I am not certain if I need to use the a^ +b^ =c and then use a radical expression to reduce.
One side of a rectangular stage is
2 meters longer than the other. If the diagonal is 10 meters,
then what are the lengths of the sides?
Thank you,
Tracy

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Question 161403: One side of a rectangular stage is 2 meters longer than the other. If the diagonal is 10 meters, then what are the lengths of the sides?
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Question 161479: Area of a sail.
The area in square meters for a triangular sail is given as
a.) Find
b.) If the height of the sail is meters, then what is the length of the base of the sail?
How would I set this up and work it?
Thank you,
Tracy

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Question 162719: a mover must put a circular mirror two meters in diameter through a one meter by 1.8 meter doorway. find the lenght of the diagonal of the doorway. will the mirror fit?

please help:)!

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Question 164280This question is from textbook
: 10^2+x^2=50^2This question is from textbook

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Question 164372This question is from textbook Heart of Mathmatics
: Can there be a right triangle with sides of length 1, 2 and 3? Why or why not? Can yo find a right triangle whose side lengths are consecutive natural numbers?
This question is from textbook Heart of Mathmatics

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Question 164365This question is from textbook
: If a right triangle has legs of length 1 and x what is the length of the hypotenuse?This question is from textbook

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Question 164371This question is from textbook Heart of Mathmatics
: Suppose you know the base of a rectangle has a length of 4 inches and a diagonal has a length of 5 inches. Find the area of the rectangle?

I'm clueless on this one. I just cant seem to get this. Any help would be greatly appreciated.
This question is from textbook Heart of Mathmatics

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Question 164539: a radio tower located 18 miles north of a straight highway has a transmission radius of 33 miles. find x the length of the section of highway that is within the transmission radius of the tower.

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Question 166528: Use the pythagorean theorem then find the exact length of the hypotenuse in the following right triangle
5 and 7

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Question 166999: A boulder 10m high is on edge of a cliff. From a point on the ground 200 ft away from the foot of the cliff, the angles of elevation of the top and bottom of the boulder are 60 degrees and 40 degrees respectively. How high is the cliff?
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Question 168041: The screen size of a t.V is the length of the diagonal across the screen. The height of the screen = 16inches. The diagonal of the screen is 32inches. How to i find out the width?
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Question 168429: how would you find 8 square root of 3
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Question 168734This question is from textbook Geometry Concepts and Applications
: What is the hypotenuse of 30-60-14 ?This question is from textbook Geometry Concepts and Applications

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Question 168834: i cant figure out how to get the answer for hypotenuse i understand that you have to add the two numbers together but how to get that finale answer
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Question 169528: If I walk 1/2 mile north and 1 1/2 mile east how many miles can I walk back with taking two miles to return. I need to know the shorter distance back to my main starting point.
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Question 169783: Find the hypotenuse of a right triangle with sides 5 inches and 10 inches.
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Question 169783: Find the hypotenuse of a right triangle with sides 5 inches and 10 inches.
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Question 169890: A man 6 feet tall has a shadow 7.8 feet long while standing next to a flagpole that has a shadow measuring 195 feet. How tall is the flagpole?
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Question 169913: Boat A was 10 km west of Boat B. Boat A travelled directly north to shore. Boat B travelled 26 km directly to the same point on the shore. Boat A's trip was how many kilometres shorter?
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Question 169626: If angle AC is Parallel to angle EF ,mEFC=113, m angle BEF is 71 find m angle EAC .
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Question 170537: A square is inscribed in a circle whose diameter is 10 cm. Find the length of the side of the square.
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Question 170538: Can an umbrella 28 cm long be packed in the bottom of a suitcase 24 cm long by 16 cm?
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Question 170729: A builder is about to cut rafters for a roof of a cottage. If the width of the cottage is 24 m and he wants a roof 5 m high with an overhanging eave 1 m, find the total length of the rafter.
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Question 170991: triangle abc has a right angle at B.
AB=9cm. BC=12cm
find the length of AC

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Question 170991: triangle abc has a right angle at B.
AB=9cm. BC=12cm
find the length of AC

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Question 171038: A classroom is 20 m long, 12 m wide, and 7 m high. Find the distance from the northeast corner of the room to the southwest corner of the room at floor level.
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Question 171507: Given the triange with a hypotenuse = 20 , and one leg = X + 8 , and the other leg = X
Approximate to the nearest foot how many feet of walking distance a person saves by cutting across the lawn instead of walking on the side walk.
I know you use pythagorean theorem to get {2x^2 + 16x -336 = 0}
then simplify and get 2(x^2 + 8x - 168) = 0
After this you use quadratic equation and get -4 +- ^736 over 1
I dont know how to get the whole number after this
Thanks


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Question 171507: Given the triange with a hypotenuse = 20 , and one leg = X + 8 , and the other leg = X
Approximate to the nearest foot how many feet of walking distance a person saves by cutting across the lawn instead of walking on the side walk.
I know you use pythagorean theorem to get {2x^2 + 16x -336 = 0}
then simplify and get 2(x^2 + 8x - 168) = 0
After this you use quadratic equation and get -4 +- ^736 over 1
I dont know how to get the whole number after this
Thanks


Click here to see answer by solver91311(5072) About Me 

Question 171845: If the long les of a 30-60-90 triangle is 5. What is the short leg and the hypotenouse?
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Question 172190: suppose you know the base of a rectangle has a length of 4 inches and a diagonal has a length of 5 inches. Find the area of the rectangle
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Question 172315: If the the hypotenuse of a right triangle is 13 then what are it's legs?
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Question 172551This question is from textbook
: a=3, b=4, c=?This question is from textbook

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Question 172690: Using the Pythagorean theorem:
Two jets pass directly over each other at 10am. One jet is traveling south at 480 km/h the other is traveling east at 900 km/h. How far are the two jets apart 2 hours later?

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Question 172690: Using the Pythagorean theorem:
Two jets pass directly over each other at 10am. One jet is traveling south at 480 km/h the other is traveling east at 900 km/h. How far are the two jets apart 2 hours later?

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Question 173193: In a 30-60-90 triangle, the short leg is 8 m. Find the length of the long leg.
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Question 173498: A garden lot is in the shape of a right triangle. The hypothenuse is 30 yds. longer than twice the length of the shorter leg, and the longer leg is 20 yds. longer than twice the length of the shorter leg. What are the lengths of the three sides?
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