# Triangle A has an area of #6 # and two sides of lengths #9 # and #4 #. Triangle B is similar to triangle A and has a side with a length of #14 #. What are the maximum and minimum possible areas of triangle B?

##### 1 Answer

Dec 21, 2017

Possible maximum area of triangle B = **73.5**

Possible minimum area of triangle B = **14.5185**

#### Explanation:

To get the maximum area of

Sides are in the ratio 14 : 4

Hence the areas will be in the ratio of

Maximum Area of triangle

Similarly to get the minimum area, side 9 of

Sides are in the ratio

Minimum area of