Question

Two sides of an obtuse triangle measure 12 inches and 14 inches. The longest side measures 14 inches

What is the greatest possible whole-number length of the unknown side?
2 inches
3 inches
7 inches
9 inches

Answer 1

C. 7 inches

Explanation:

The Obtuse Triangle Inequality Theorem: c^2 > a^2 + b^2.

14^2 > 12^2 + b^2.

196 > 144 + b^2.

so b < 52. and the square root of 52 is 7.

Thank you and have a great day!

Answer 2

The answer to this is 3 inches