# Triangle A has an area of #18 # and two sides of lengths #8 # and #12 #. Triangle B is similar to triangle A and has a side of length #12 #. What are the maximum and minimum possible areas of triangle B?

##### 1 Answer

Dec 21, 2017

Maximum possible area of triangle B = **40.5**

Minimum possible area of triangle B = **18**

#### Explanation:

To get the maximum area of

Sides are in the ratio 12 : 8

Hence the areas will be in the ratio of

Maximum Area of triangle

Similarly to get the minimum area, side 12 of

Sides are in the ratio

#:. “Area of triangle B” = 18#

Minimum area of