SOLUTION: ΔABC has a perimeter of 30. AB = 4x – 7, BC = 2x, and AC = 7. List the angles in order from least to greatest.
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Question 181099: ΔABC has a perimeter of 30. AB = 4x – 7, BC = 2x, and AC = 7. List the angles in order from least to greatest.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The first thing to do is solve for x. Since we know the perimeter of any polygon is the sum of the lengths of the sides, we can say:
 + 2x + 7 = 30 \ \ \rightarrow \ \ 6x = 30 \ \ \rightarrow \ \ x = 5)
Now we know that side AB = 20 - 7 = 13, BC = 2 X 5 = 10, and AC = 7.
The size of any angle is proportional to the length of the opposite side. So the smallest angle in this triangle is the angle oppostite side AC, namely angle B, and so on.
John
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