Triangle A has sides of lengths #5 ,3 #, and #8 #. Triangle B is similar to triangle A and has a side of length #1 #. What are the possible lengths of the other two sides of triangle B?

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Answer 1 · 2016-03-06T08:52:20

triangle 1: # (1, 3/5,8/5)#
triangle 2: # (5/3, 1, 8/3)#
triangle 3: # (5/8, 3/8, 1)#

Simply use ratio and proportion in finding the other sides of triangle B.

For example: Triangle 1:

let x be the second side of triangle B
let y be the third side of triangle B

#x/3=1/5#

#x=3/5#

compute for the third side y:

#y/8=1/5#

#y=8/5#

Do the same for triangle 2: and triangle 3:

God bless...I hope the explanation is useful.