Question

in $delta xyz$, $mangle x = 43^{circ}$ and $mangle y = 44^{circ}$. which list has the sides of $delta xyz$ in order from shortest to longest? answer yz, xy, zx zx, xy, yz submit answer zx, yz, xy xy, zx, yz yz, zx, xy xy, yz, zx

Explanation:

Step1: Find angle Z

In a triangle, the sum of interior angles is 180°. So, $m\angle Z=180^{\circ}-m\angle X - m\angle Y=180^{\circ}-43^{\circ}-44^{\circ}=93^{\circ}$.

Step2: 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.

Step3: Identify smallest to largest angles

$m\angle X = 43^{\circ}

Step4: Match sides to angles

The side opposite $\angle X$ is $YZ$, the side opposite $\angle Y$ is $ZX$, and the side opposite $\angle Z$ is $XY$. So the sides from shortest to longest are $YZ, ZX, XY$.

Answer:

YZ, ZX, XY