# 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?

##### 1 Answer

Oct 20, 2017

**Maximum area of triangle B = 45**

**Minimum area of triangle B = 11.25**

#### Explanation:

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.

Sides ratio