Question

Please help! Medal and fan!
The length of one leg of a right triangle is (x - 6) centimeters, and the area is [(1/2)(x^2) - 7x + 24] square centimeters. What is the length of the other leg?

I'm pretty sure that the equation i need to solve is [(1/2)(x^2) - 7x + 24) = [(1/2) (x - 6) (h) but I just dont know where to start solving it

Answer 1

@dtan5457 @Loser66

Answer 2

solve for b or h

Answer 3

Let's call the other leg "y" so
(x-6) * y =[(1/2)(x^2) - 7x + 24]
y = [(1/2)(x^2) - 7x + 24] / (x-6)

Answer 4

1/2*(x^2-7x+24)=1/2bh
x^2-7x+24=b(x-6)
b=(x2-7x+24)/(x-6)