Question

A triangle has side lengths of 36 in, 27in, and 61 in. Classify it as acute, obtuse, or right.

Answer 1

When given 3 triangle sides, to determine if the triangle is acute, right or obtuse:1) Square all 3 sides.36, 27, 61 1,296,  729,  3,721 2) Sum the squares of the 2 shortest sides.1,296 + 729 = 2,025

3) Compare this sum to the square of the 3rd side.2,025 < 3,721
if sum > 3rd side²   Acute Triangleif sum = 3rd side²   Right Triangleif sum < 3rd side²   Obtuse TriangleTherefore, it is an Obtuse TriangleSource:http://www.1728.org/triantest.htm