Question

The hypotenuse of a right triangle has length 8. The area of the triangle is also 8 units squared. What is the perimeter of the triangle?

Answer 1

c^2 = a^2+b^2 = 64
ab/2 = 8

(a+b)^2 = a^2+2ab+b^2 = 8+32 = 40

p = a+b+c = 8+√40

Answer 2

Thanks Steve, but how do you get to this step?
(a+b)^2 = a^2+2ab+b^2 = 8+32 = 40

Answer 3

Good catch. a^2+b^2 = 64, not 8

Answer 4

But still not sure how you come up with this formula
(a+b)^2 ?