SOLUTION: the area of a right triangle is 210 square meter and its perimeter is 70 cm. Find the length of its hypotenuse.

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: the area of a right triangle is 210 square meter and its perimeter is 70 cm. Find the length of its hypotenuse.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



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) About Me  (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
1%2F2x*x = 210
x^2 = 420; multiplied both sides by 2
x = sqrt%28420%29
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 = sqrt%2820.5%5E2+%2B+20.5%5E2%29
h = 28.99 ~ 29 is that close enough?