How many of these triples could be sides of a right triangle: (27, 36, 45), (12, 17, 20), (24, 32, 40), (14, 48, 50) ?

3 triples

1 triple

2 triples

4 triples

3 Triples

Step-by-step explanation:

To check if it is a right triangle, the sum of the square of the two smaller numbers must be equal to the square of largest number.

Check (27, 36, 45)

27² + 36² = 2025

√2025 = 45

Therefore, this is a right triangle.

Check (12,17, 20)

12² + 17² = 433

√433 = 20.81

Therefore, this is NOT a right triangle.

Check (24, 32, 40)

24² + 32² = 1600

√1600 = 40

Therefore, this is a right triangle.

Check (14, 48, 50)

14² + 48² = 2500

√2500 = 50

Therefore, this is a right triangle.

There are 3 triples.