7. The following are the lengths of the sides of four triangles. Which is a right triangle?

Triangle EFG
Triangle HIJ
Triangle KLM

I don't see any lengths.

The right triangle is the one that satisfies the theorem that is the title of your question.

EFG 3,6,9

HIJ 60,156,144
KLM 56,102,105
NOP 36,48,64

The following are the lengths of the sides of four triangles. (See assignment sheet for chart). Which is a right triangle?

a.Triangle EFG
b.Triangle HIJ
c.Triangle KLM
d.Triangle NOP

HIL has side lengths in a ratio 5:12:13

That is one of the right triangle ratios.

To determine if a triangle is a right triangle, we need to check if the square of the length of one side is equal to the sum of the squares of the other two sides.

Let's start by examining each triangle:

Triangle EFG:
We need the lengths of all three sides to determine if it's a right triangle. If you provide the lengths of the sides, we can calculate it.

Triangle HIJ:
We need the lengths of all three sides to determine if it's a right triangle. If you provide the lengths of the sides, we can calculate it.

Triangle KLM:
We need the lengths of all three sides to determine if it's a right triangle. If you provide the lengths of the sides, we can calculate it.

Please provide the lengths of the sides for each triangle, and I can help you determine which one is a right triangle.