Triangle A has sides of lengths #81 #, #45 #, and #66 #. Triangle B is similar to triangle A and has a side of length #7 #. What are the possible lengths of the other two sides of triangle B?

1 Answer
sankarankalyanam
Dec 21, 2017

Length of other two sides are
Case 1 : 3.8889, 5.7037
Case 2 : 12.6, 10.2667
Case 3 : 4.7727, 8.5909

Explanation:

Triangles A & B are similar.
Case (1)
#:.7/81=b/45=c/66#
#b=(7*45)/81= 3.8889#
#c=(7*66)/81= 5.7037#

Possible lengths of other two sides of triangle B are
#7, 3.8889, 5.7037#

Case (2)
#:.7/45=b/81=c/66#
#b=(7*81)/45=12.6#
#c=(7*66)/45=10.2667#

Possible lengths of other two sides of triangle B are
#7, 12.6, 10.2667#

Case (3)
#:.7/66=b/45=c/81#
#b=(7*45)/66=4.7727#
#c=(7*81)/66=8.5909#

Possible lengths of other two sides of triangle B are
#7, 4.7727, 8.5909#

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