Question

in DEF, DE =29 feet, EF = 26 feet, and DF = 32 feet. Which correctly gives the order of the angle measure from largest to smallest?

Answer 1

Choice A.

Step-by-step explanation:

The sketch of the triangle is given below

The angle opposite the longest side is the widest.

The longest side is DF; therefore, the angle opposite to it (angle E) is the widest.

The second-longest side is DE; therefore, the angle opposite to it (angle F) is the second widest.

Lastly, the third-longest side is EF; therefore, the angle opposite to it (angle D) is the third widest (or the smallest angle).

Hence, the angle measures when ordered from greatest to smallest are

∠E, ∠F, ∠D

which is given by choice A.