Question 2 Unsaved Can the set of lengths be the side lengths of a right triangle? 18 m, 24 m, 30 m

All right triangle will conform to the Pythagorean Theorem where the square of the 2 shorter legs is equal to the square of the longest leg.

⇒⇒ a² + b² = c²

To prove if a triangle with sides 18m, 24m, and 30m is a right triangle:

a² + b² = 18² + 24²

a² + b² = 324 + 576

a² + b² = 900

a² + b² = 30²

Since 18² + 24² = 30², which is the square of the longest side ⇒ this is a right triangle.

Answer: The set of 18m, 24m, and 30m is a right triangle.