In ΔΔFGH, mF = 50, mG = 60, and mH = 70. Which side of ΔΔFGH is the shortest?A.GHB.FGC.FHD.Cannot be determined

1. Break Down the Problem

We have a triangle ΔFGH with angles:

• $mF = 50^\circ$
• $mG = 60^\circ$
• $mH = 70^\circ$

We need to determine which side of the triangle is the shortest.

2. Relevant Concepts

According to the properties of triangles, the side opposite the smallest angle is the shortest side. Therefore, we need to compare the angles to find the smallest one.

3. Analysis and Detail

The angles are:

• $mF = 50^\circ$
• $mG = 60^\circ$
• $mH = 70^\circ$

The smallest angle among these is $mF = 50^\circ$.

4. Verify and Summarize

Since side lengths are opposite to their respective angles, the side opposite to angle F, which is side GH, will be the shortest.

Final Answer

The shortest side of ΔFGH is GH (answer A).