SOLUTION: What is the lengh of the hypotenuse of a right triangle with legs of length 80 feet and 150 feet?

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Question 323012: What is the lengh of the hypotenuse of a right triangle with legs of length 80 feet and 150 feet?
Found 2 solutions by QH, jessica43:
Answer by QH(50) About Me  (Show Source):
You can put this solution on YOUR website!
Use the Pythagorean Theorem a%5E2%2Bb%5E2=c%5E2
a and b are legs and c is the hypotenuse.
%2880%29%5E2%2B%28150%29%5E2=c%5E2
6400%2B22500=c%5E2
28900=c%5E2
sqrt%2828900%29=sqrt%28c%5E2%29
170=c

Answer by jessica43(140) About Me  (Show Source):
You can put this solution on YOUR website!
To solve this problem you need to use the pythagorean theorem:
a^2 + b^2 = c^2, where c represents the length of the hypotenuse, and a and b represent the lengths of the other two sides. Note: this theorem can obly be used for right triangles.
So in this problem, plug in 80 and 150 for the values of a and b:
a^2 + b^2 = c^2
(80^2) + (150^2) = c^2
6400 + 22500 = c^2
28900 = c^2
sqrt(28900) = sqrt (c^2)
170 = c
So the length of the hypotenuse is 170 feet.