Question

In triangle ABC, m∠A=36°, m∠B=84°, and m∠C=60°. The side lengths, in order from greatest to least, are:

A. AC, AB, BC
B. BC, AC, AB
C. AC, BC, AB
D. AB, AC, BC

Answer 1

The side lengths, in order from greatest to least in triangle ABC, are AC, AB, BC.

Step-by-step explanation:

To determine the side lengths of triangle ABC in order from greatest to least, we can use the fact that the sum of the angles of a triangle is always 180 degrees. Given that m∠A=36°, m∠B=84°, and m∠C=60°, we can conclude that ∠A is the smallest angle, ∠B is the largest angle, and ∠C is the middle angle.

Therefore, the side lengths in order from greatest to least are: AC, AB, and BC. So, the correct answer is option (A).