The correct answer is C. 8, 12, and 13.
In a right triangle, the Pythagorean theorem states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
For option A: 11^2 + 60^2 = 121 + 3600 = 3721, which is not equal to 61^2 = 3721. Therefore, this is not a right triangle.
For option B: 12^2 + 35^2 = 144 + 1225 = 1369, which is not equal to 37^2 = 1369. Therefore, this is not a right triangle.
For option D: 6^2 + 8^2 = 36 + 64 = 100, which is not equal to 15^2 = 225. Therefore, this is not a right triangle.
Only option C satisfies the Pythagorean theorem, so it represents the sides of a right triangle.
Which unit lengths represent the sides of a right triangle? Select all that apply
A. 11, 60, and 61
B. 12, 35, 37
C. 8, 12, and 13
D. 6, 8, and 15
1 answer