Question

Which side lengths form a right triangle? Choose all answers that apply: Choose all answers that apply: (Choice A) A 1, 5, 261,5,261, comma, 5, comma, 26 (Choice B) B \text{1.5, 2, 2.5}1.5, 2, 2.5start text, 1, point, 5, comma, space, 2, comma, space, 2, point, 5, end text (Choice C) C 4, 4,\sqrt{32}4,4, 32 ​ 4, comma, 4, comma, square root of, 32, end square root

Answer 1

Answer:

Options B and C

Step-by-step explanation:

A right triangle satisfy the pythagorean theorem:

a² = b² + c²

where a is the hypotenuse (the larger side), and b and c are the legs

Case A) b = 1, c = 5, a = 26

26² = 1² + 5²

676 ≠ 26

Case B) b = 1.5, c = 2, a = 2.5

2.5² = 1.5² + 2²

6.25 = 6.25

Case C) b = 4, c = 4, a = √32

√32² = 4² + 4²

32 = 32