Tell whether the triangle is a right triangle. Explain. A. PQR is not a right triangle because 5^(2)+12^(2) \\eq 13^(2). B. PQR is not a right triangle because 5^(2) + 13^(2) \\…

Question

Tell whether the triangle is a right triangle. Explain.

A. PQR is not a right triangle because
`5^(2)`+
`12^(2) \\eq 13^(2)`.

B. PQR is not a right triangle because
`5^(2) + 13^(2) \\eq 12^(2)`.

C. PQR is a right triangle because
`5^(2) + 13^(2) = 12^(2)` .

D. PQR is a right triangle because
`5^(2) + 12^(2) = 13^(2)`.

Answer 1

its d

Explanation:

Answer 2

D

Explanation:

Using Pythagoras' identity for right triangles

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

Here PR is the hypotenuse, thus

13² = 169

5² + 12² = 25 + 144 = 169

Thus Δ PQR is a right triangle because 5² + 12² = 13² → D