Triangle FGH has side lengths of 5 cm, 13 cm, and x cm. The side length of x is shorter than the longest side. What does the value of x need to be in order for the triangle to be considered a right triangle?

The answer is below

Step-by-step explanation:

Let x represent the length of the fence along the stone side and y represent the length of the fence along the wood side. The cost of building the fence C(x) is given by:

C(x) = 100x + 20(2y + x)

C(x) = 100x + 40y + 20x

C(x) = 120x + 40y

Since the area = 7500 ft²,

⇒ xy = 7500

y = 7500/x

Hence to minimize cost, 50 ft of fence is used along the stone side and 150 ft of fence along the wood side