In ΔΔFGH, mF = 50, mG = 60, and mH = 70. Which side of ΔΔFGH is the shortest?A.GHB.FGC.FHD.Cannot be determined
Question
In ΔΔFGH, mF = 50, mG = 60, and mH = 70. Which side of ΔΔFGH is the shortest?A.GHB.FGC.FHD.Cannot be determined
Solution 1
In a triangle, the length of the sides is directly proportional to the measure of the angles opposite to them. This means that the side opposite the smallest angle is the shortest.
In triangle FGH, the smallest angle is F with a measure of 50 degrees. Therefore, the shortest side of the triangle is the one opposite angle F, which is GH.
So, the answer is A. GH.
Solution 2
In a triangle, the length of the sides is directly proportional to the measure of the angles opposite to them. This means that the side opposite the smallest angle is the shortest.
In triangle FGH, the smallest angle is F with a measure of 50 degrees.
Therefore, the shortest side of the triangle FGH is GH.
So, the answer is A. GH.
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