# Triangle A has an area of #84 # and two sides of lengths #18 # and #15 #. Triangle B is similar to triangle A and has a side of length #5 #. What are the maximum and minimum possible areas of triangle B?

Let me say something obvious:

- the smallest possible similar triangle has the minimum area and the largest possible similar triangle has the maximum area.

In the Heron's formula for the area of the triangle:

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- In triangle RST, RS = 10, RT = 15, and angle R = 32. In triangle UVW, UV=12, UW = 18, and angle U = 32. Are these polygons similar?

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