Triangle A has an area of #6 # and two sides of lengths #5 # and #8 #. Triangle B is similar to triangle A and has a side with a length of #19 #. What are the maximum and minimum possible areas of triangle B?
1 Answer
Feb 2, 2018
Case 1. Maximum Area of
Case 2. Minimum Area of
Explanation:
Side r can have values between
Case 1. Maximum Area of
x should correspond to least side of A, viz. r = 3.1 to get minimum area of B.
Case 2. Minimum Area of
x should correspond to longest side of A, viz. r = 12.9 to get maximum area of B.