Question

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


∠D, ∠F, ∠E


∠E, ∠F, ∠D


∠F, ∠E, ∠D


∠D, ∠E, ∠F

Answer 1

Are you sure???

Answer 2

∠D, ∠E, ∠F

Answer 3

I apologize for the mistake. Let's reevaluate the angles of triangle DEF based on the side lengths given:

Given DE = 7, EF = 9, and DF = 3, we can determine that angle D is the smallest angle since the side opposite it (DF) is the shortest side. Therefore, ∠D is the smallest angle.

Next, we can determine that angle E is the largest angle since the side opposite it (EF) is the longest side. Therefore, ∠E is the largest angle.

This leaves angle F as the middle angle.

So, the correct order of the angles from smallest to largest measure in triangle DEF is:
∠D, ∠F, ∠E