Questions on Geometry: Pythagorean theorem answered by real tutors!

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Question 557587: a square has side length 9 in, what is the lenght of the longest line segment that can be drawn between any two points of the square?
Click here to see answer by neatmath(302) About Me 

Question 557594: right triangles ABC has legs of lengths 4 ft and 7 ft. what is the length of the triangle's hypotenuse?
Click here to see answer by neatmath(302) About Me 

Question 557602: Televisions are sold by the length of the diagonal across the screen. If a new 48-in television screen is 42 in. wide, how tall is the screen to the nearest inch?
Click here to see answer by rfer(16322) About Me 

Question 557663: "Do the lengths of the three sides of an isosceles triangle always, sometimes, or never satisfy the Pythagorean theorem"
Click here to see answer by richard1234(7193) About Me 

Question 559122: two angles of a right triangle are complementary and are in the ratio of 1:2 What are the measures of the three angles?
Click here to see answer by josmiceli(19441) About Me 

Question 559439: can you find the distance between the following points using the Pythagorean theorem: (-4, -9), (-11, -9)
Click here to see answer by mananth(16946) About Me 

Question 559794: A forty foot ladder is set against the wall. the distance of the base of the ladder to the wall is equal to the height of the ladder. How high is the ladder on the wall?
If I was to use the theorem, my answer is 0. (40)^2-(40)^2=b^2 1600-1600=b^2
0=b^2.
On the drawing it shows a 90o angle between the ladder and the wall.

Click here to see answer by mananth(16946) About Me 

Question 560568: please help me to solve this:if the hypotenuse of an isosceles rigt triangle 18 squre of 2cm.find lenght of the other sides(hint:use pythagoren theorem
Click here to see answer by jim_thompson5910(35256) About Me 

Question 560576: please help me to solve this questions; if the scale distance on a map varies directly as the actual distance.if the actual distance represented by 1
cm is 10km what is the actual distance corresponding to 84cm?

Click here to see answer by josmiceli(19441) About Me 

Question 561661: how to derive the pythagorean theorem?
Click here to see answer by richard1234(7193) About Me 

Question 561713: The perimeter of a triangle is the "distance around the outside". If you have a triangle whose sides are a, b, and c, then the perimeter is a+b+c. Your peice of property is a triangle, which is bordered by three square peices of property. The first square (the hypotenuse) has and area of 200 square miles. The second square (side a) has an area of 50 square miles. The third square (side b) has an area of 72 square miles. What is the perimeter of your property?
(HINT: after you simplify your answer, it will be in the form a√b where a is a 2-digit number and b is a one-digit number.)
Please help me figure this out!

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

Question 562266: Y^2=x^2+12^2 represents the Pythagorean Theorem for a right triangle, where one of the shorter sides is 12 feet long, the other side is x(in feet), and y is the hypottenuse of the triangle.
Graph the equation using at least 5 to 8 points.
thank you
Rod Curley

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

Question 562396: do 26,24,10 make up an right angle?
Click here to see answer by fcabanski(1391) About Me 

Question 562716: I've been stuck on this problem for a long time, and I REALLY need some help!
The question is:
"The longer leg of a right triangle is 4 feet longer than the other leg. Find the length of the two legs if the hypotenuse is 20 feet." I know that you set it up like this: x^2+(x+4)^2=20.
I need to show work, but I don't really know what I'm doing.

Click here to see answer by issacodegard(60) About Me 

Question 562913: I have a question. what do you do if you need to prove a triangle is a right triangle, but you only have variable coordinates for that triangle. Here's what I have so far: Triangle ABC: A(x,0); B(x,y); C(2x,0)
Finding AB: sqrt%28%28x-x%29%5E2%2B%28y-0%29%5E2%29
sqrt%282y%29
Finding BC: sqrt%28%282x-x%29%5E2%2B%280-y%29%5E2%29
sqrt%28x%5E2=y%5E2%29
Finding AC: sqrt%28%282x-x%29%5E2%2B%280-0%29%5E2%29
sqrt%28x%5E2%29
Final Steps: a^2+b^2=c^2
sqrt%28%282y%29%29%5E2%2B+sqrt%28%28x%5E2%29%29%5E2=+sqrt%28%28x%5E2%2By%5E2%29%29%5E2
sqrt%284y%5E2%29%2B+sqrt%282x%5E4%29=+sqrt%28x%5E4%2By%5E4%29
I'm confused on what to do next. I know that if a^2+b^2=c^2 then it is a right triangle. But, I can't solve it any furthur. I also can't use sin, cos, or tan. Thannk you in advance.

Click here to see answer by mananth(16946) About Me 

Question 563564: Diagonals of a rhombus are of lengths 16cm and 12cm.find the length of it's sides
Click here to see answer by Theo(13342) About Me 

Question 565306: using pythagorean theorem:
how do i solve using a square root as one of the sides?
for example: a^2=26 b^2=(square root 596) c^2=?

Click here to see answer by Theo(13342) About Me 

Question 565496: Find the missing lengths in each of these triangles. You must express your answers in radical form
Click here to see answer by Alan3354(69443) About Me 

Question 565556: one adjacent is 12cm, the other is x. The hypotenuse is x+8. What is x? I can work it out by trial and error and get the answer 5, but how do I get it using algebra?
Click here to see answer by stanbon(75887) About Me 

Question 565683: What do i do if ther are Square Roots? Like this problem: a=5, b=?, and c= sqaure root of 89? I have to find the missimg length!
Click here to see answer by Leaf W.(135) About Me 

Question 565887: if i have a right triangle where 26 is the hypotenuse(C) and bottom leg is 21 (C). how do i find A, the side leg?
Click here to see answer by stanbon(75887) About Me 

Question 566007: a squared = (x+3)
b squared = 4(x+2)
c squared = 625
I have got to:
xsq+6x+9+4xsq+16x+16=625
then get stuck

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

Question 568107: It is my 2nd day in my geometry class, I have switched from an online school & I have an upcoming test on slope/midpoint/distance. Im stuck on a question from the study guide because I was not there for the lessons. I need help ASAP!
The question is:
The length of a rectangle is three times as long as it is wide. If the length of the diagonal is 10sqrt6 feet, find the area of the rectangle.
I cannot solve for this question no matter what I try!

Click here to see answer by scott8148(6628) About Me 

Question 568656: (Pythogorean Theorem) The foot of a ladder is placed 6 feet from a wall. If the top of the ladder rests 8 feet up on the wall, how long is the ladder?
Click here to see answer by stanbon(75887) About Me 

Question 568719: What to do when both legs are x?

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Question 568719: What to do when both legs are x?

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Question 570213: The foot of a ladder is placed 12 feet from a wall. If the top of the ladder rests 9 feet up on the wall, how long is the ladder?
Click here to see answer by nerdybill(7384) About Me 

Question 570395: a square garden has a side length of 10 meters. What is the length of the diagonal of the garden , to the nearest hundredth ?

Click here to see answer by solver91311(24713) About Me 

Question 570686: If a square has a diagonal of 40 inches how long is each side of the square
Click here to see answer by stanbon(75887) About Me 

Question 571125: Name three(3) sets of Pythagorean triplets and prove that they are indeed Pythagorean triplets.
Click here to see answer by mananth(16946) About Me 

Question 571131: The hypotenuse of angle XYZ is 10 and length of one of its legs is 8. Find the length of the other leg. Show diagram and calculation.
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Question 571129: The measures of the legs of angle ABC are 5 and 8. Find the length of the hypotenuse. Show diagram and calculation. Simplify your answer.
Click here to see answer by richard1234(7193) About Me 

Question 572516: I am building a Triangular chicken coop.
A=4ft(tall)
B=4ft(wide)
D=5.66ft(hypotnuse)
of A the lower 2.5ft is going to be open while the remaining 1.5 ft will be enclosed making the lower "half" a right trapizoid and the top a right triangle
so if the trapizoid is
a=2.5ft tall
B=4ft wide
c=? (also width of upper right triangle)
d=? (hypotnuse)
1.5ft of A c and the remaining difference of D = the enclosed area
i just need to know what c & d are of the trapaziod that is the simpilest way i can put the question im doing this on my own and i have been out of school for just a year but im just stuck and dont remember how to do it i would very much appreciate your help Thank you.

Click here to see answer by Theo(13342) About Me 

Question 573021: Hi,
I have a maths question where the hypotenuse is 10m but the other to sides are unknown. These sides are both equal though and i have to answer in 2dp.

Click here to see answer by nerdybill(7384) About Me 

Question 573173: legs are 4 cm and 6 cm. what is the length of the hypotenuse?
Click here to see answer by oscargut(2103) About Me 

Question 573322: prove c= square root of a^2+b^2
Click here to see answer by stanbon(75887) About Me 

Question 573689: A baseball dimond is really a square. The length of each side is 90ft. How far does a ball thrown along the diagonal of the square travel? Round your answer to the nearest tenth.
Click here to see answer by Alan3354(69443) About Me 

Question 573968: A ladder 25 feet long (JO) is leaning against a wall, reaching a point 20 ft above the ground (MO). the ladder is then moved so that JK = 2(PO). Find KM
Click here to see answer by solver91311(24713) About Me 

Question 574139: how long is each side of a square if the diagonal is 5√2

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

Question 574421: A boat travels 30 miles east and then 40 miles north. How far is the boat from its point of origin ? (Hint:Use the Pythagorean Theorem)
Click here to see answer by Alan3354(69443) About Me 

Question 574654: A pole 10m long leans against a wall. the bottom of the pole is 6m from the wall. If the bottom of the pole is pulled away x m so that the top slides down by the same amount, find x.
Click here to see answer by reviewermath(1029) About Me 

Question 574683: A large totem pole in the state of Washington is 100 ft tall. At a particular time of day, the totem pole casts a 249 ft-long shadow. Find the measure of A is at the small point of triangle then line to right is adjacent 249 ft, then up which is opposite 100ft. The answer is Can someone please show me how to get answer
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 575496: Draw the following and leave your answer in simplest radical form:
A right angle ahs the following sides:
A= 1 meter
b= ?
C= 300 centimeters
Whats the length of B

Click here to see answer by solver91311(24713) About Me 

Question 575775: If two lengths of a right triangle are 16 and 30, what could be the length of the third side? Explain.
Click here to see answer by lwsshak3(11628) About Me