Question

Choose the correct ascending order of angles for the triangle with side lengths as AB = 50 ft, BC = 44 ft, and AC = 29 ft.

• A. $\angle C<\angle A<\angle B$
• B. $\angle B<\angle C<\angle A$
• C. $\angle A<\angle C<\angle B$
• D. $\angle B<\angle A<\angle C$

Answer 1

The correct option is D $\angle B<\angle A<\angle C$

In any traingle, the angle opposite to longer side is the largest.
Given, AB = 50 ft, BC = 44 ft and AC = 29 ft.
Ascending order of sides is AC, BC, AB.
$\therefore$ Ascending order of angles is $\angle B,\angle A,\angle C$.
$\Rightarrow \angle B<\angle A<\angle C$