# Triangle A has an area of #8 # and two sides of lengths #8 # and #7 #. Triangle B is similar to triangle A and has a side with a length of #16 #. What are the maximum and minimum possible areas of triangle B?

##### 1 Answer

Maximum Area

Minimum Area

#### Explanation:

I computed all possible triangles and there are 2 possible triangles for A and 6 possible triangles for B. Then I computed the area for each triangle to determine the maximum and minimum areas.

For first triangle A:

sides

For first triangle B:

sides

Area

sides

Area

sides

Area

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

For second triangle A:

sides

For first triangle B:

sides

Area

sides

angle

Area

sides

angle

Area

God bless....I hope the explanation is useful.