Question

Determine whether the sides given would form an acute, obtuse, or right triangle.

9, 7, 15

Answer 1

c^2 < a^2 + b^2 = acute

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

c^2 = a^2 + b^2 = right

15^2 = 225

7^2 + 9^2 = 49 + 81 = 130

c^2 = 225 but a^2 + b^2 = 130

c^2 > a^2 + b^2 so the triangle is an obtuse triangle

Answer:

9, 7, 15 sides would form an obtuse triangle.