SOLUTION: The area of a right triangle is 120 sq. in. The longer leg is 4 more than twice the shorter leg. Find the length of each leg. Show all work to receive credit.

Question 206204: The area of a right triangle is 120 sq. in. The longer leg is 4 more than twice the shorter leg. Find the length of each leg. Show all work to receive credit.

Answer by Marth(57) (Show Source): You can put this solution on YOUR website!
For a triangle,
Because it is a right triangle, the two legs are the base and height.
let x = the shorter leg
2x+4 = the longer leg

Divide by 2.

Factor.

or
or
The side length canot be negative, so ignore

The shorter leg has length 10in, and the longer leg has length = 24in
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