SOLUTION: The area of a triangle is 40 and its base is 32. Find the base of a similar triangle whose area is 90. .

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Question 367583: The area of a triangle is 40 and its base is 32. Find the base of a similar triangle whose area is 90. .
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Let k = constant of proportionality between the two similar triangles(bigger-to-smaller.)Then 90%2F40+=+k%5E2. or k = 3/2. Thus the base of the bigger triangle is %283%2F2%29%2A32+=+48.