SOLUTION: The sides of a triangle are 5, 6 and 10. Find the length of the longest side of a similar triangle whose shortest side is 15.
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Question 948269: The sides of a triangle are 5, 6 and 10. Find the length of the longest side of a similar triangle whose shortest side is 15. Answer by MathLover1(20849) (Show Source):
You can put this solution on YOUR website! Similar triangles have sides that are .
The shortest side of the first rectangle is , so that corresponds to the shortest side of the new one which is .
The side lengths are and , so the ratio is to .
The longest side length of the first triangle is , so the longest side of the new triangle must be three times that, or .
The third side of the first triangle is , so the third side of the new triangle must be three times that, or
check ratios:
