Question

PLEASE HELP!!

Determine if the following triangle is A right triangle or not using the Pythagorean theorem converse. Triangle with side length of: 6 ft, 7 ft, and 8 ft.

A: true, these measures do form a right triangle.

B: false, these measures do not form a right triangle.

Answer 1

Nope B

Explanation:

i responded to another of your questions I think, so hopefully this will help! The pythagorean theorem is a² + b² = c². This ONLY works with right triangles. So that means if the numbers work then the triangle is a right triangle.

Another aspect you need to know is that c is always the longest side. The other two are interchangeable though, so you just need to remember c is the longest side.

In this case, that's 8. 8² is 64. What are 6² + 7²? 85, so that means the numbers do not match up to those of a right triangle.

For one that does work try it with a triangle with sides of length 4 ft, 3 ft and 5 ft, just so you have a case where it works. Also, if you only have two sides you can use algebra to find the third.