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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?

Answer 1

Savannah Aguilar

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

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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Answer 2

Carson Arnold

The possible lengths of the other two sides of triangle B are 12.6 and 22.4.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.