Triangle A has sides of lengths #32 #, #44 #, and #64 #. Triangle B is similar to triangle A and has a side of length #8 #. What are the possible lengths of the other two sides of triangle B?

Answer 1

Possible length of sides of triangle are (8, 11 and 16), (5.82, 8 and 11.64) and (4, 5.5 and 8).

Sides of two similar triangles are proportional to each other.

As triangle A has sides of lengths 32, 44, and 64 and triangle B is similar to triangle A and has a side of length 8, the latter could be proportional to 32, 44 or 64.

If it is proportional to 32, other two sides could be #8*44/32=11# and #8*64/32=16# and three sides would be 8, 11 and 16.
If it is proportional to 44, other two sides could be #8*32/44=5.82# and #8*64/44=11.64# and three side would be 5.82, 8 and 11.64.
If it is proportional to 64, other two sides could be #8*32/64=4# and #8*44/64=5.5# and three sides would be 4, 5.5 and 8.
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Answer 2

The possible lengths of the other two sides of triangle B are 11 and 16.

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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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