SOLUTION: The sides of a triangle are in the ratio 5: 2: 4. The longest side of the triangle is 15 cm. Find its shortest side. Find its perimeter.

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Question 403088: The sides of a triangle are in the ratio 5: 2: 4. The longest side of the triangle is 15 cm.
Find its shortest side.
Find its perimeter.

Answer by rvquartz(19)   (Show Source): You can put this solution on YOUR website!
The IMPORTANT key is to realize that "the ratio 5:2:4" in this problem can be translated to mean
"5 'parts', 2 'parts', 4 'parts'"
the longest side is 15cm, so that means that 15cm = 5 'parts'
so 1 'part' = 3cm
the shortest side is 2 'parts'
the perimeter is the sum of all sides = total of 11 parts
so,
the shortest side is 6cm
the perimeter is 33cm

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