Question

A triangle has side lengths of 13, 9, and 5. Is the triangle a right triangle? Explain.

Use complete sentences in your explanation.

Hint: Pythagorean Theorem: a^2+ b^2 = c^2

Answer 1

Answer:

see below

Step-by-step explanation:

Using the Pythagorean Theorem:

a^2+ b^2 = c^2

5^2+ 9^2 = 13^2

25+81 = 169

106 = 169

This is not true so it is not a right triangle

Answer 2

Answer:

$\boxed{\sf Not \ a \ right \ triangle}$

Step-by-step explanation:

Apply Pythagorean theorem to check if the triangle is a right triangle.

$a^2+ b^2 = c^2$

$5^2+ 9^2 = 13^2$

$25+81=169$

$106=109$

False statement.

The triangle is not a right triangle.