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Triangle A has sides of lengths #35 #, #25 #, and #48 #. 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

Wyatt Anderson

The other two sides of triangle are
Case 1 : 9.8, 10.64
Case 2 : 5, 7.6
Case 3 : 4.6053, 6.4474

Triangles A & B are similar. Case (1) #:.7/25=b/35=c/38# #b=(7*35)/25= 9.8# #c=(7*38)/25= 10.64#

Possible lengths of other two sides of triangle B are #7, 9.8, 10.64#

Case (2) #:.7/35=b/25=c/38# #b=(7*25)/35=5# #c=(7 * 38)/35=7.6#

Possible lengths of other two sides of triangle B are #7, 5, 7.6#

Case (3) #:.7 /38=b/25=c/35# #b=(7*25)/38=4.6053# #c=(7*35)/38=6.4474#

Possible lengths of other two sides of triangle B are #7, 4.6053, 6.4474#

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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.