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 with a length of #9 #. What are the maximum and minimum possible areas of triangle B?
2 Answers
Maximum area of
Explanation:
If sides are 9:12, areas will be in their square.
Area of B
If the sides are 9:8,
Area of B
Aliter :
For similar triangles, ratio of corresponding sides are equal.
Area of triangle A =18 and one base is 12.
Hence height of
If
Area of
Area of
Hence height of
I
the height of
Area of
Minimum possible area 81/8
Maximum possible area 729/32
Explanation:
Alternate Method :
Sides ratio 9/12=3/4.Areas ratio will be
Sides ratio = 9/8.