A triangle has sides with lengths of 57 kilometers, 71 kilometers, and 95 kilometers. Is it a right triangle?
This is NOT a right triangle.
To see whether something is a right triangle given the side lengths, we use the Pythagorean Theorem, shown here:
If/when we plug them into the formula and both sides are equal, then we know that the triangle is a right triangle.
We have the lengths of the three sides, so we can plug them into the formula:
Add the left side:
No! That is not true! That means that this is NOT a right triangle.
Hope this helps!