Question

a right triangle is 18 inches long and a hypotenuse that is 30 inches long. what is the perimeter, in inches, of this triangle?

Answer 1

The perimeter is 72 inches

Explanation:

using the pythagorean theorem we can solve for the missing leg by plugging in the values we know.

`a^(2) + b^(2) = c^(2) \\18^(2) + b^(2) = 30^(2) \\324 + b^(2) = 900\\ b^(2) = 900-324\\b^(2) = √(576) \\b= 24`

now you just add the values, 30 + 24 + 18