Question

PLEASE HELP I DONT HAVE MUCH TIME

The front of the stage, side C, is 170 feet long. A 150-foot rope runs along the side of square B. A 80-foot rope runs along the side of square A. Is the roped off area, triangle ABC, a right triangle? Show your work to justify your conclusion.

Answer 1

Δ ABC is a right triangle

Explanation:

using the converse of Pythagoras' identity

given 3 sides of a triangle a, b, c with c being the longest then if

a² + b² = c² , the triangle is right

here a = 80 , b = 150 and c = 170

a² + b² = 80² + 150² = 6400 + 22500 = 28900

c² = 170² = 28900

Since a² + b² = c² then Δ ABC is a right triangle.