The length of the hypotenuse of a right triangle is 3m more than twice the length of the shorter leg . The longer leg is 7m longer than the shorter leg. Find the length of all sides.

Question

The length of the hypotenuse of a right triangle is 3m  more than twice the length of the shorter leg . The longer leg is 7m longer than the shorter leg. Find the length of all sides.

anonymous · Answer

lets call the length of the shorter leg a.

so the hypotenuse would be 2a+3

and the longer leg is a+7

using pythagareon theorem we can say

a^2+(a+7)^2=(2a+3)^2

now can you try and solve for a?