Question

the sides of a triangle measure 7.9 cm, 15.5 cm, and 14.8 cm. the angle opposite the 14.8 cm side is 70°. which angle measure could be opposite the 7.9 cm side? a 80° b 60° c 70° d 30°

Explanation:

Step1: Recall angle - side relationship in a triangle

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

Step2: Identify the shortest side

The side lengths are 7.9 cm, 15.5 cm, and 14.8 cm. The shortest side is 7.9 cm.

Step3: Analyze the given angle

The angle opposite the 14.8 cm side is 70°. Since the side of length 7.9 cm is shorter than 14.8 cm, the angle opposite the 7.9 cm side must be less than 70°.

Answer:

D. 30°