SOLUTION: A right triangle has a hypotenuse of length 2√13 cm. and a leg of length 3√5 cm. What is the length of the other leg?

Algebra ->  Pythagorean-theorem -> SOLUTION: A right triangle has a hypotenuse of length 2√13 cm. and a leg of length 3√5 cm. What is the length of the other leg?      Log On


   

Question 605808: A right triangle has a hypotenuse of length 2√13 cm. and a leg of length
3√5 cm. What is the length of the other leg?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
A right triangle has a hypotenuse of length 2√13 cm. and a leg of length
3√5 cm. What is the length of the other leg?
.
Apply Pythagorean Theorem:
Let x = length of other leg
then
x%5E2+%2B+%283sqrt%285%29%29%5E2+=+%282sqrt%2813%29%29%5E2
x%5E2+%2B+%289%2A5%29+=+%284%2A13%29
x%5E2+%2B+45+=+52
x%5E2+=+7
x+=+sqrt%287%29