Question

If AB = 8, BC = 16, and CA = 13, list the angles of ABC in order from smallest to largest.

Answer 1

C, B, A
Explanation:In any triangle, there is a direct relation between the measure of the angle and the length of the opposite side.This means that:- The longest side will be the one opposite to the largest angle- The shortest side will be the one opposite to the smallest angle
In the given triangle:- The longest side is BC, this means that the largest angle is angle A- The shortest side is AB, this means that the smallest angle is C- CA has an intermediate length (AB < CA < BC), this means that measure angle B will be greater than C and less than A
Based on the above, the order from the smallest angle to the largest angle will be as follows:C < B < A