Question

A triangle has side lengths of 14cm, 48cm, and 57cm. Classify it as acute, obtuse, or right (Show your work)

Answer 1

Obtuse

Explanation:

Use Pythagorian Theorm

c^2 = a^2 + b^2

c =hypotenus a= leg b= leg

57 is the largest side so its c and the others are a and b.

57^2 = 48^2 + 14^2

3249 = 2304 + 196

3249 > 2500

c^2 > a^2 + b^2 is obtuse