The hypotenuse of a right triangle is 25m long. The length of one of the legs is 10m less than twice the other. Find the length of each leg.

Question

Mathematics

Karla Farley

15 March, 00:57

The hypotenuse of a right triangle is 25m long. The length of one of the legs is 10m less than twice the other. Find the length of each leg.

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Answers (1)

Know the Answer?

Lyla Hunter · Answer 1

(2x-10) ^2+x^2=25^2

4x^2-40x+100+x^2=625

5x^2-40x+100-625=0

5x^2-40x-525=0

5 (x^2-8x-105) = 0

5 (x-15) (x+7) = 0

x-15=0

x=15 for the short side.

2*15-10

30-10=20 for the long side.

Proof:

15^2+20^2=25^2

225+400=625

625=625