Triangle A has sides of lengths #51 #, #45 #, and #54 #. Triangle B is similar to triangle A and has a side of length #9 #. What are the possible lengths of the other two sides of triangle B?

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Answer 1 · 2018-04-30T20:12:06

9, 8.5 & 7.5
9, 10.2 & 10.8
7.941, 9 & 9.529

If 9 is the longest side then the multiplier wold be #54/9=6#

#51/6=8.5#. #45/6=7.5#

If 9 is the shortest side then the multiplier would be #45/9=5#

#51/5=10.2#, # 54/5=10.8#

If 9 is the middle side then the multiplier would be #51/9=5 2/3#

#45/(5 2/3)=7.941#, #54/(5 2/3)=9.529#