Answered

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.

Verified Answer :

(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 

Related Questions