Triangle A has an area of #4 # and two sides of lengths #5 # and #3 #. Triangle B is similar to triangle A and has a side with a length of #32 #. What are the maximum and minimum possible areas of triangle B?

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Answer 1 · 2018-04-30T10:52:53

#113.dot7# or #163.84#

if the 32 corresponds to the side of 3 then it is a multiplier of #10 2/3#, ( #32/3#). The area would be #4xx(32/3)^2=1024/9=113.dot7#

if the 32 corresponds to the side of 5 then it is a multiplier of 6.4

#(32/5)# The area would be #4xx6.4^2=4096/25=163.84#