Triangle A has sides of lengths #5, 4 #, and #3 #. Triangle B is similar to triangle A and has a side of length #4 #. What are the possible lengths of the other two sides of triangle B?

Answer 1

Other two possible sides of triangle B are

#20/3 \ & \ 16/3\ \ or \ \ 5 \ \ & \ \ 3 \ \ \ or \ \ \ 16/5 \ \ & \ \ 12/5#

Let #x# & #y# be two other sides of triangle B similar to triangle A with sides #5, 4, 3#.

The ratio of corresponding sides of two similar triangles is same.

Third side #4# of triangle B may be corresponding to any of three sides of triangle A in any possible order or sequence hence we have following #3# cases

Case-1:

#\frac{x}{5}=\frac{y}{4}=\frac{4}{3}#
#x=20/3, y=16/3#

Case-2:

#\frac{x}{5}=\frac{y}{3}=\frac{4}{4}#
#x=5, y=3#

Case-3:

#\frac{x}{4}=\frac{y}{3}=\frac{4}{5}#
#x=16/5, y=12/5#

hence, other two possible sides of triangle B are

#20/3 \ & \ 16/3\ \ or \ \ 5 \ \ & \ \ 3 \ \ \ or \ \ \ 16/5 \ \ & \ \ 12/5#
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Answer 2

The possible lengths of the other two sides of triangle B are 3 and 2.

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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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