classify the traingle

Question

Classify the triangle with side measure of 12, 5, and 11 as acute, obtuse,or right.

Answer 1

Use Pythagorean theorem c² = a² + b² to classify the triangle.

If c² = a² + b² then the triangle is right triangle

If c² < a² + b² then the triangle is acute triangle

If c² > a² + b² then the triangle is obtuse triangle

12² = 5² + 11²

144 = 25 + 121

144 < 146

the triangle is acute triangle.