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Triangle A has sides of lengths #12 ,1 4#, and #11 #. 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?

Answer 1

Ella Armstrong

Possible lengths of other two sides are
Case 1 : 10.5, 8.25
Case 2 : 7.7143, 7.0714
Case 3 : 9.8182, 11.4545

Triangles A & B are similar. Case (1) #:.9/12=b/14=c/11# #b=(9*14)/12= 10.5# #c=(9*11)/12= 8.25#

Possible lengths of other two sides of triangle B are #9, 10.5, 8.25#

Case (2) #:.9/14=b/12=c/11# #b=(9*12)/14=7.7143# #c=(9 * 11)/14=7.0714#

Possible lengths of other two sides of triangle B are #9, 7.7143, 7.0714#

Case (3) #:.9 /11=b/12=c/14# #b=(9*12)/11=9.8182# #c=(9*14)/11=11.4545#

Possible lengths of other two sides of triangle B are #8, 9.8182, 11.4545#

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Answer 2

Jayden Jackson

The possible lengths of the other two sides of triangle B are (6) and (8).

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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.