SOLUTION: the sides of a triangle are in the ratio 4:3:2. What is the length of the longest side if the shortest side is 14 inches long?

Algebra ->  Rational-functions -> SOLUTION: the sides of a triangle are in the ratio 4:3:2. What is the length of the longest side if the shortest side is 14 inches long?      Log On


   



Question 806812: the sides of a triangle are in the ratio 4:3:2. What is the length of the longest side if the shortest side is 14 inches long?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
4:3:2 = a:b:14
+a%2F4+=+b%2F3+
+b%2F3+=+14%2F2+
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+b%2F3+=+7%2F1+
+b+=+21+
and
+a%2F4+=+b%2F3+
+a%2F4+=+21%2F3+
+a%2F4+=+7+
+a+=+28+
The longest side is 28 inches long
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check:
+a%2F4+=+14%2F2+
+a%2F4+=+7+
+a+=+28+
OK