Triangle A has an area of #6 # and two sides of lengths #4 # and #6 #. Triangle B is similar to triangle A and has a side of length #18 #. What are the maximum and minimum possible areas of triangle B?
In Triangle A
p = 4, q = 6. Therefore
i.e. r can have values between 2.1 and 9.9, rounded up to one decimal.
Given triangles A & B are similar
Area of triangle
Let side 18 of B proportional to least side 2.1 of A
Let side 18 of B proportional to least side 9.9 of A