Which set of line segments could create a right triangle?

15, 30, 35

15, 36, 39

15, 20, 29

5, 15, 30

We will use the Pythagorean Theorem:

a² + b² = c²

A) 15² + 30² = 225 + 900 = 1125 ≠ 35²

B) 15² + 36² = 225 + 1296 = 1521 = 39² (correct)

C) 15² + 20² = 225 + 400 = 625 ≠ 29²

D) 5² + 15² = 25 + 225 = 250 ≠ 30²

Answer:

B) 15, 36, 39

A right triangle will satisfy Pythagoras Theorem:

c² = a² + b²; where c is the longest side.

The only segments satisfying this are

15, 36, 39