# Triangle A has an area of #27 # and two sides of lengths #8 # and #6 #. Triangle B is similar to triangle A and has a side with a length of #8 #. What are the maximum and minimum possible areas of triangle B?

##### 1 Answer

#### Answer:

maximum possible area of triangle B

minimum possible area of triangle B

#### Explanation:

Given area of triangle A is

Now, for maximum area

By the property of similar triangles that the ratio of areas of two similar triangles is equal to the square of ratio of corresponding sides then we have

Now, for minimum area

The ratio of areas of similar triangles A & B is given as

Hence, the maximum possible area of triangle B

the minimum possible area of triangle B