Triangle A has an area of #5 # and two sides of lengths #6 # and #3 #. Triangle B is similar to triangle A and has a side with a length of #9 #. What are the maximum and minimum possible areas of triangle B?
Maximum area of triangle B = 45
Minimum area of triangle B = 11.25
Triangle A sides 6,3 & area 5.
Triangle B side 9
For maximum area of triangle B : side 9 will be proportional to side 3 of triangle A.
Then the side ratio is 9:3. Therefore, areas will be in the ratio of
Similarly, for minimum area of triangle B,
side 9 of triangle B will correspond to side 6 of triangle A.