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

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

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.

Answer 2

see below

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