# Triangle A has an area of #18 # and two sides of lengths #9 # and #6 #. Triangle B is similar to triangle A and has a side of length #8 #. What are the maximum and minimum possible areas of triangle B?

##### 1 Answer

Nov 8, 2016

#### Explanation:

Let

Let calculate third side

So 9 is the longest side and 6 is the shortest, so the maximum area is obtained when 8 is proportional to 6 and the minimum when 8 is proportional to 9: