Question

question 28 of 45 which of the following statements is true concerning △abc below? a 12 10 b 7 c a. ∠a is the smallest angle. b. ∠b is the largest angle. c. ∠b is the smallest angle. d. ∠a is the largest angle.

Explanation:

Step1: Recall angle - side relationship

In a triangle, the smallest angle is opposite the shortest side and the largest angle is opposite the longest side.

Step2: Identify side lengths

The side lengths of \(\triangle ABC\) are \(AB = 12\), \(AC=10\), and \(BC = 7\).

Step3: Determine the largest and smallest angles

The shortest side is \(BC = 7\), and the angle opposite it is \(\angle A\). So \(\angle A\) is the smallest angle. The longest side is \(AB=12\), and the angle opposite it is \(\angle C\).

Answer:

A. \(\angle A\) is the smallest angle.