Question

in δtuv, m∠t = 98° and m∠u = 25°. which list has the sides of δtuv in order from longest to shortest? answer vt, tu, uv tu, uv, vt tu, vt, uv uv, tu, vt uv, vt, tu vt, uv, tu

Explanation:

Step1: Find angle V

In a triangle, the sum of interior angles is 180°. So, $m\angle V=180^{\circ}-m\angle T - m\angle U=180^{\circ}-98^{\circ}-25^{\circ}=57^{\circ}$.

Step2: Recall angle - side relationship

In a triangle, the longest side is opposite the largest angle and the shortest side is opposite the smallest angle.
Since $m\angle T = 98^{\circ}>m\angle V=57^{\circ}>m\angle U = 25^{\circ}$, the side opposite $\angle T$ is UV, the side opposite $\angle V$ is TU and the side opposite $\angle U$ is VT.
So the sides from longest to shortest are UV, TU, VT.

Answer:

UV, TU, VT