Question

question 5 of 10
which side of $\triangle def$ is the longest?
a. $\overline{de}$
b. $\overline{ef}$
c. $\overline{fd}$
d. cannot be determined

Explanation:

Step1: Calculate ∠F

The sum of angles in a triangle is $180^\circ$.
$\angle F = 180^\circ - 50^\circ - 87^\circ = 43^\circ$

Step2: Match angle to opposite side

In a triangle, the longest side is opposite the largest angle. The largest angle is $\angle D = 87^\circ$, which is opposite $\overline{EF}$.

Answer:

B. $\overline{EF}$