The diagram shows the back fences of three houses in a small neighborhood. The lengths of the fences are given.

Pythagorean theorem: a2 + b2 = c2

Triangles

Use the Pythagorean theorem to classify the triangle formed by the three fences. Which is true about the numbers 5, 12, and 13?

They are a Pythagorean triple that does not form a right triangle.

They are a Pythagorean triple that forms a right triangle.

They do not satisfy the Pythagorean theorem, but they do form a right triangle.

They do not satisfy the Pythagorean theorem, and they do not form a right triangle.

Question

Valentina Diaz

Mathematics

13 December, 03:06

The diagram shows the back fences of three houses in a small neighborhood. The lengths of the fences are given.

Pythagorean theorem: a2 + b2 = c2

Triangles

Use the Pythagorean theorem to classify the triangle formed by the three fences. Which is true about the numbers 5, 12, and 13?

They are a Pythagorean triple that does not form a right triangle.

They are a Pythagorean triple that forms a right triangle.

They do not satisfy the Pythagorean theorem, but they do form a right triangle.

They do not satisfy the Pythagorean theorem, and they do not form a right triangle.

+2

Answers (2)

Know the Answer?

Daniella Curry · Answer 1

b They are a Pythagorean triple that forms a right triangle.

Peter Whitehead · Answer 2

They are a Pythagorean triple that forms a right triangle

Step-by-step explanation:

a2 + b2 = c2

(5) ^2 + (12) ^2 = (13) ^2

25 + 144 = 169

(13) ^2 = 169