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.