Question

10. GradPoint

Determine whether the given lengths can be sides of a right triangle. Which of the following are true statements?


A. The lengths 7, 40 and 41 can be sides of a right triangle. The lengths 12, 16, and 20 can be sides of a right triangle.

B. The lengths 7, 40 and 41 can be sides of a right triangle. The lengths 12, 16, and 20 cannot be sides of a right triangle.

C. The lengths 7, 40 and 41 cannot be sides of a right triangle. The lengths 12, 16, and 20 can be sides of a right triangle.

D. The lengths 7, 40 and 41 cannot be sides of a right triangle. The lengths 12, 16, and 20 cannot be sides of a right triangle.

Answer 1

The lengths 7, 40 and 41 cannot be sides of a right triangle. The lengths 12, 16, and 20 can be sides of a right triangle.

Explanation:

You can test this by using the Pythagorean theorem, which states a^2+b^2=c^2

with 7,40 and 41

7^2+40^2 does not equal to 41^2

but with 12,16, and 20

12^2+16^2=20^2

therefore, the last statement is correct.