One leg of a right triangle is one less than twice the other. The area of the triangle is 18 square feet. What is the length of the 3rd side of the triangle? Solve by factoring.
A= 1/2 (b)(h)
18= 1/2 (x)(2x-1)
36 = 2x^2 -x
0 = 2x^2 -x - 36
(2x - 9)(x + 4 ) = 0
x = 9/2 x = -4
Answer cannot be negative.
One side is 9/2, the other side is 8.
To find the 3rd side, use
c^2 = a^2 + b^2
c^2 = 81/4 + 64
c^2 = 81/4 + 256/4
c^2 = can you finish from here?