Question

problem 14: (first taught in lesson 49) in △abc, m∠c = 55 and m∠b = 45. is overline{ac} or overline{ab} shorter? after you enter your answer press go.

Explanation:

Step1: Find the measure of angle \(A\)

The sum of angles in a triangle is \(180^{\circ}\). So, \(m\angle A=180 - 55 - 45=80^{\circ}\)

Step2: Use the angle - side relationship

In a triangle, the shorter side is opposite the smaller angle.
\(\overline{AC}\) is opposite \(\angle B = 45^{\circ}\), \(\overline{AB}\) is opposite \(\angle C=55^{\circ}\)
Since \(45^{\circ}<55^{\circ}\)

Answer:

\(\overline{AC}\)