# 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 #Delta B#** =

**Case 2. Minimum Area of #Delta B#** =

#### Explanation:

Side r can have values between

**Case 1. Maximum Area of #Delta B#**

x should correspond to least side of A, viz. r = 3.1 to get minimum area of B.

**Case 2. Minimum Area of #Delta B#**

x should correspond to longest side of A, viz. r = 12.9 to get maximum area of B.