Question

Two common Pythagorean Triples on the GMAT are:

A) (3, 4, 5) and (5, 12, 13)
B) (1, 2, 3) and (7, 24, 25)
C) (8, 15, 17) and (10, 24, 26)
D) (6, 8, 10) and (9, 12, 15)

Answer 1

The question identifies correct Pythagorean Triples, which are set of integers fitting the equation a² + b² = c². Options A and C provide accurate Pythagorean Triples relevant to the GMAT.

Step-by-step explanation:

The question asks to identify which of the given options are Pythagorean Triples. A Pythagorean Triple is a set of three positive integers (a, b, c) that fit the equation a² + b² = c², which stems from the Pythagorean theorem relating to right triangles. The correct Pythagorean Triples from the options provided are:

• (3, 4, 5), because 3² + 4² = 5² (9 + 16 = 25).
• (5, 12, 13), because 5² + 12² = 13² (25 + 144 = 169).
• (8, 15, 17), because 8² + 15² = 17² (64 + 225 = 289).
• (7, 24, 25), because 7² + 24² = 25² (49 + 576 = 625).

Therefore, the correct Pythagorean Triples on the GMAT would be options A) (3, 4, 5) and (5, 12, 13) and C) (8, 15, 17) and (7, 24, 25).