# Triangle A has an area of #24 # and two sides of lengths #9 # and #6 #. Triangle B is similar to triangle A and has a side of length #9 #. What are the maximum and minimum possible areas of triangle B?

##### 1 Answer

Feb 1, 2018

#### Explanation:

Triangle A has sides p, q, r and area A

Triangle B has sides x, y, x with area B.

p = 9, q = 6.

r can have values between

Min. value 3.1 and max. value 14.9 ( taking one decimal correction).

Case 1 : r = 3.1 and z = 9#

We know,

Case 2 : r = 14.9 and z = 9#

We know,