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

Respuesta :

Answer:

The perimeter is 72 inches

Step-by-step explanation:

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

[tex]a^{2} + b^{2} = c^{2} \\18^{2} + b^{2} = 30^{2} \\324 + b^{2} = 900\\ b^{2} = 900-324\\b^{2} = \sqrt{576} \\b= 24[/tex]

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