Question

List the angles of triangle DEF in order from smallest to largest measure if DE = 7, EF = 9, and DF = 3.

∠D, ∠E, ∠F


∠E, ∠F, ∠D


∠F, ∠E, ∠D


∠D, ∠F, ∠E

Answer 1

The angles in order from smallest to largest would be ∠E, ∠F, ∠D.

∠D is opposite side EF. ∠E is opposite side DF. ∠F is opposite side DE. The sides that are the smallest correspond with the smallest angles, and the sides that are the largest correspond with the largest angles.

Answer 2

Answer: The order from smallest to largest is <E, <F, <D

First, you should draw a picture of triangle DEF and label all of the sides. Then, you will have an idea of what the triangle looks like and the relative size of the angles.

You can also look at the side opposite of the angle. The larger the opposite side, the larger the angle.