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In FGH, mF = 65, mG = 55, and mH = 60. Which side of FGH is the shortest?

User Reacen
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2 Answers

4 votes

Answer: Fh is the shortest

User Mandell
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5.2k points
4 votes
Answer:
FH is the shortest side

Step-by-step explanation:
In any triangle, the length of any side is proportional to the measure of its opposite interior angle.
This means that:
The shortest side is the side opposite to the smallest interior angle in the triangle
The longest side is the side opposite to the largest interior angle in the triangle

Now, in the given triangle we have:
measure angle F = 65°
measure angle G = 55°
measure angle H = 60°

We can note that angle G is the smallest angle.
Based on the above, the shortest side would be the one opposite to angle G which is side FH.

Hope this helps :)
User Matthew Watson
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