SOLUTION: okay i have one question that i'm not sure how to set up.
1. The lengths of the sides of a triangle are in the ratio 5:6:7. describe the length of the longest side if the perimet
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Question 207703: okay i have one question that i'm not sure how to set up.
1. The lengths of the sides of a triangle are in the ratio 5:6:7. describe the length of the longest side if the perimeter is less that 54 cm.
Found 2 solutions by rfer, MathTherapy:
Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
5x+6x+7x=54
18x=54
x=3
5(3)+6(3)+7(3)=54
Answer by MathTherapy(10555) (Show Source): You can put this solution on YOUR website!
Since the sides of the triangle are in the ratio 5:6:7, and since its perimeter is less than 54 cm, we can say that:
5x + 6x + 7x < 54
18x < 54
x < 3
Since x is less than 3, and since the longest side is 7x, we can say that:
x < 3, and therefore:
7(x) < 7(3), or 7x < 21.
This means that the longest side, 7x, is
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