Question

△abc
∠a = 43°, ∠b = 74°, ∠c = 63°
arrange the sides from shortest to longest based on their lengths.
bc, ac, ab
bc, ab, ac
ac, ab, bc
ac, bc, ab
submit

Explanation:

Step1: Recall the triangle side - angle relationship

In a triangle, the larger the angle, the longer the side opposite it.

Step2: Compare the angles

Given \(\angle A = 43^{\circ}\), \(\angle B=74^{\circ}\), \(\angle C = 63^{\circ}\). So \(\angle A<\angle C<\angle B\).

Step3: Determine the side lengths

The side opposite \(\angle A\) is \(BC\), the side opposite \(\angle C\) is \(AB\), and the side opposite \(\angle B\) is \(AC\). Since \(\angle A<\angle C<\angle B\), then \(BC < AB

Answer:

\(\overline{BC},\overline{AB},\overline{AC}\)