A triangle has sides with lengths of 6 inches, 8 inches, and 10 inches. Is it a right triangle?

1 Answer
Feb 28, 2018

Yes, this is the pythagorean triple of 3, 4, 5 dilated by a scale factor of 2.
Use the Pythagorean theorem to prove it.

Explanation:

#a^2+b^2=c^2#
C should be the longest side, doesn't matter what you plug in for a and b as long as they are values given.
#6^2+8^2=10^2#
#36+64=100#
#100=100#
This is true, therefore the triangle given is a right triangle