The set of side lengths that forms a right triangle must obey the Pythagoras rule. The set of side lengths that forms a right triangle is 15, 36 and 39
The theorem states that the square of the hypotenuse is equal to the sum of the square of the other two sides.
For the set of side lengths to form a right triangle, they must fulfill the law.
Check:
For the sides 9, 12, 18
Square of the longest side = 18^2 = 324
For the sum of square of other to sides:
9^2 + 12^2 = 81 + 144
9^2 + 12^2 = 225
Since 18^2 ≠ 9^2 + 12^2, hence the sides do not form a right triangle:
For the sides 15, 36, 39
Square of the longest side = 39^2 = 1521
For the sum of square of other to sides:
15^2 + 36^2 = 225 + 1296
15^2 + 36^2 = 1521
Since 15^2 + 36^2 = 39^2 hence the sides do form a right triangle:
Learn more on right angles here: https://brainly.com/question/25770607
