SOLUTION: The sides of a triangle measure 9, 15, and 18. If the shortest side of a similar triangle measures 6, find the length of the longest side of this triangle.

Question 282054: The sides of a triangle measure 9, 15, and 18. If the shortest side of a similar triangle measures 6, find the length of the longest side of this triangle.
Found 2 solutions by Fombitz, arKed:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The first triangle has a ratio of sides as 9:15:18.
The similar triangle retains that ratio as 6:X:Y.
The multiplier is then,

So then

The longest side would then be 12.
Answer by arKed(27) (Show Source): You can put this solution on YOUR website!
Similar triangles
a1/a1 = b1=b2 = c1/c2
9/6 = 15/b2 = 18/c2
Since 18 is the longest side we will solve for c2
9/6 = 1.5
c2 = 18/1.5
longest side = 12
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