Question

Which could be the 3 sides of a right triangle?(2 points)Responses2.5, 6, and 6.52.5, 6, and 6.52, 3, and 52, 3, and 51.5, 2.5, and 41.5, 2.5, and 42, 2, and 5

Answer 1

pick one

Answer 2

The sides of a right triangle must satisfy the Pythagorean theorem, which states that the sum of the squares of the two shorter sides is equal to the square of the longest side (the hypotenuse).

Using the Pythagorean theorem, we can check each set of sides:

1. 2.5^2 + 6^2 = 2.5^2 + 36 = 6.25 + 36 = 42.25
6.5^2 = 6.5^2 = 42.25

Therefore, the sides 2.5, 6, and 6.5 could form a right triangle.

2. 2^2 + 3^2 = 4 + 9 = 13
5^2 = 25

Therefore, the sides 2, 3, and 5 could form a right triangle.

3. 1.5^2 + 2.5^2 = 2.25 + 6.25 = 8.5
4^2 = 16

Therefore, the sides 1.5, 2.5, and 4 would not form a right triangle.

Based on this, the correct answers are:

1. 2.5, 6, and 6.5
2. 2, 3, and 5

Answer 3

2. 2, 3, and 5