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 not 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.

Question

Mathematics

Lea

15 September, 01:15

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 not 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.

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Ariel Perez · Answer 1

The correct answer for this item is this one: " The triangle is a right triangle because 25 + 144 = 169

Given the side lengths 5 cm, 13 cm, and 12 cm, we can confirm it if it is a right triangle by applying the pythagorean theorem.

13^2 = 12^2 + 5^2

169 = 144 + 25

169 = 169

So this confirms that it is a right triangle.