Question

Which best explains whether a triangle with side lengths 5 cm, 13 cm, and 12 cm is a right triangle? The triangle is a right triangle because 52 + 122 = 132. The triangle is a right triangle because 5 + 13 > 12. The triangle is not a right triangle because 52 + 132 > 122. The triangle is not a right triangle because 5 + 12 > 13.

Answer 1

The Triangle Is A Right Triangle Because 5^2 + 12^2 = 13^2.

Explanation:

5^2 = 25. 12^2 = 144. With the Pythagorean theorem, (a^2 + b^2 = c^2), 5 is a, 12 is b, and 13 is c.

25 + 144 = 169.

13 ^ 2 = 169.

Since a^2 + b^2 = c^2 is true, the triangle is a right triangle.