Triangle A has sides of lengths #60 #, #45 #, and #54 #. 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

#(7 , 21/4 , 63/10) , (28/3 , 7 , 42/5) , (70/9 , 35/6 , 7)#

Since the triangles are similar the the ratios of corresponding sides are equal.

Name the 3 sides of triangle B , a , b and c , corresponding to the sides 60 , 45 and 54 in triangle A. #"---------------------------------------------------------------------"# If side a = 7 then the ratio of corresponding sides #= 7/60 # hence b =#45xx7/60 = 21/4" and " c = 54xx7/60 = 63/10# The 3 sides of B #=(7 , 21/4 , 63/10)# #"----------------------------------------------------------------------"# If b = 7 then ratio of corresponding sides #= 7/45# hence a #= 60xx7/45 = 28/3" and " c = 54xx7/45 = 42/5 # The 3 sides of B = #(28/3 , 7 , 42/5)# #"-----------------------------------------------------------------"# If c = 7 then ratio of corresponding sides = #7/54# hence a #=60xx7/54 = 70/9" and " b = 45xx7/54 = 35/6# The 3 sides of B #=(70/9 , 35/6 , 7)# #"-----------------------------------------------------------------------"#
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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.

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.

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.

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.

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