Question

in △def, m∠d = 104° and m∠e = 25°. which statement about the sides of △def must be true? answer de > ef > fd fd > de > ef ef > fd > de de > fd > ef ef > de > fd fd > ef > de

Explanation:

Step1: Find angle F

The sum of angles in a triangle is 180°. So, $m\angle F=180^{\circ}-m\angle D - m\angle E=180^{\circ}-104^{\circ}-25^{\circ}=51^{\circ}$.

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 $m\angle D>m\angle F > m\angle E$, the side opposite $\angle D$ is $EF$, the side opposite $\angle F$ is $DE$, and the side opposite $\angle E$ is $FD$. So, $EF>DE>FD$.

Answer:

$EF > DE > FD$