Question

In AFGH, m_F= 65°, m_G = 55°, and m_H = 60° Which side of AFGH is

the shortest?
A. FG
B. GH
C. Cannot be determined
D. FH​

Answer 1

D. FH

Explanation:

Angle G is the smallest, so the side of the triangle opposite that angle will be the shortest. That is the side that does not contain G in its segment name:

FH is the shortest side . . . . choice D

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The attachment shows a triangle with these angle measures drawn to scale. You will note that FH is the shortest side.

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Please be aware that different instances of this question may have different angle measures, or may have answer choices in a different order. The thing to remember is that the lengths of sides have the same ordering (least to greatest) that the angle measures do.