Triangle A has an area of #12 # and two sides of lengths #5 # and #7 #. Triangle B is similar to triangle A and has a side with a length of #19 #. What are the maximum and minimum possible areas of triangle B?
The triangles A and B are similar. By ratio and proportion method of solution, triangle B has three possible triangles.
For Triangle A: the sides are
The angle Z between sides x and y was obtained using the formula for area of triangle
Three possible triangles for Triangle B: the sides are
Maximum Area with Triangle 3.
Minimum Area with Triangle 1.
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