SOLUTION: the area of a right triangle is 210 square meter and its perimeter is 70 cm. Find the length of its hypotenuse.
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Question 720014: the area of a right triangle is 210 square meter and its perimeter is 70 cm. Find the length of its hypotenuse.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
let x = the length of the two equal legs
let h = the hypotenuse
:
the area of a right triangle is 210 square meter
x*x = 210
x^2 = 420; multiplied both sides by 2
x =
x = 20.494 ~ 20.5
:
its perimeter is 70 cm.
2(20.5) + h = 70
h = 70 - 41
h = 29 is the hypotenuse
:
See if this checks out
h =
h = 28.99 ~ 29 is that close enough?
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