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Triangle A has sides of lengths #7 ,4 #, and #8 #. 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

Sadie Adams

Possible lengths of the triangle B are

Case (1)
#9, 15.75, 18#

Case (2)
#9, 5.14, 10.29#

Case (3)
#9, 4.5, 7.875#

Triangles A & B are similar. Case (1) #:.9/4=b/7=c/8# #b=(9*7)/4= 15.75# #c=(9*8)/4= 18#

Possible lengths of other two sides of triangle B are #9, 15.75, 18#

Case (2) #:.9/7=b/4=c/8# #b=(9*4)/7=5.14# #c=(9*8)/7=10.29#

Possible lengths of other two sides of triangle B are #9, 5.14, 10.29#

Case (3) #:.9/8=b/4=c/7# #b=(9*4)/8=4.5# #c=(9*7)/8=7.875#

Possible lengths of other two sides of triangle B are #9, 4.5, 7.875#

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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.