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.
