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jmc

geometry intermediate

Problem

The dimensions of a triangle are tripled to form a new triangle. If the area of the new triangle is 54 square feet, how many square feet were in the area of the original triangle?
Solution
If two similar triangles have side ratios of the ratio of their areas must be That means that when a triangle is tripled to form a new triangle, the new triangle has 9 times the area of the original. That means the original triangle must have an area of
Final answer
6