Question

Question 5 of 20

Which of the following triangles are right triangles? Check all that apply.
A. A triangle with side lengths 8, 15, 17
B. A triangle with side lengths 9, 12, 15
C. A triangle with side lengths 5, 12, 13
D. A triangle with side lengths 6 inches, 8 inches, 12 inches

Answer 1

To determine if a triangle is a right triangle, we can use the Pythagorean theorem. Triangle B, C, and D are right triangles.

Step-by-step explanation:

To determine if a triangle is a right triangle, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Let's check each triangle:

• Triangle A: 8² + 15² = 64 + 225 = 289 ≠ 17², so it is not a right triangle.
• Triangle B: 9² + 12² = 81 + 144 = 225 = 15², so it is a right triangle.
• Triangle C: 5² + 12² = 25 + 144 = 169 = 13², so it is a right triangle.
• Triangle D: 6² + 8² = 36 + 64 = 100 = 10², so it is a right triangle.

Thus, triangles B, C, and D are right triangles.