A triangle has sides with lengths of 57 kilometers, 71 kilometers, and 95 kilometers. Is it a right triangle?

1 Answer
Apr 29, 2018

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:
#57^2 + 71^2 = 95^2#

#3249 + 5041 = 9025#

Add the left side:
#8290 = 9025#

No! That is not true! That means that this is NOT a right triangle.

Hope this helps!