Question

the sides in order from shortest to longest for the triangle below are uw, uv, vw. quiz 1.1.1 - inequalities in triangles

Explanation:

Step1: Recall angle - side relationship

In a triangle, the side opposite the smallest angle is the shortest and the side opposite the largest angle is the longest.

Step2: Identify smallest and largest angles

The smallest angle is $\angle V = 30^{\circ}$, the largest angle is $\angle U=110^{\circ}$, and $\angle W = 40^{\circ}$.

Step3: Determine side - angle correspondence

The side opposite $\angle V$ is $UW$, the side opposite $\angle U$ is $VW$, and the side opposite $\angle W$ is $UV$. So the sides from shortest to longest are $UW$, $UV$, $VW$.

Answer:

True