A brace for a shelf has the shape of a right triangle. It’s hypotenuse is 12 inches long and the two legs are equal in length. How long are the legs of the triangle

llm

Answered on Tue May 10 2022

let the right triangle ABC have AB and BC as two legs of triangle and their length will be AB=BC=x

hypotenuse=12 inches

so according to Pythagoras theorem:-

Hypotenuse^2 = Perpendicular^2 + Base^2

(AB)^2 + (BC)^2 =(AC)^2

x^2+x^2=12^2

2x^2=144

x^2=144/2

x^2=72

x=square root of 72

x=8.48 inch (length of legs of triangle)