Which set of numbers could be the side lengths of a right triangle? {5,18,23}

{6,20,24}

{7,24,25}

{8,15,25}

Answer

 If a triangle is a right triangle, then the lengths of its sides satisfy the Pythagorean Theorem, a2+b2=c2. To determine which choice is correct, test each set of values by substituting them into the Pythagorean Theorem. Start with the first set of numbers: 3, 13, and 14.

32+132=142

9+169=196

178=196

Since the result is not a true equality, the first set of values does not represent the side lengths of a right triangle. Test the other four choices. The only values that satisfy the Pythagorean Theorem are 5, 12, and 13.

52+122=132

25+144=169

169=169

answer4 to the second power is 16

and 4 to the third power is 64,