Triangle A has sides of lengths #7 ,4 #, and #5 #. Triangle B is similar to triangle A and has a side of length #3 #. What are the possible lengths of the other two sides of triangle B?

Answer 1

A: Possible lengths of other two sides are #3 3/4 , 5 1/4#
B: Possible lengths of other two sides are #2 2/5 , 4 1/5#
C.Possible lengths of other two sides are #1 5/7 , 2 1/7#

Side lengths of Triangle #A# are # 4 ,5 ,7# according to size
A: When side length #s=3# is smallest in similar triangle #B#
Then middle side length is #m=5*3/4=15/4=3 3/4#
Then largest side length is #m=7*3/4=21/4 = 5 1/4#
Possible lengths of other two sides are #3 3/4 , 5 1/4#
B: When side length #s=3# is middle one in similar triangle #B#
Then smallest side length is #m=4*3/5=12/5=2 2/5#
Then largest side length is #m=7*3/5=21/5 = 4 1/5#
Possible lengths of other two sides are #2 2/5 , 4 1/5#
C: When side length #s=3# is largest one in similar triangle #B#
Then smallest side length is #m=4*3/7=12/7=1 5/7#
Then middle side length is #m=5*3/7=15/7 = 2 1/7#
Possible lengths of other two sides are #1 5/7 , 2 1/7#
A: Possible lengths of other two sides are #3 3/4 , 5 1/4# units B: Possible lengths of other two sides are #2 2/5 , 4 1/5# units C.Possible lengths of other two sides are #1 5/7 , 2 1/7# units [Ans]
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Answer 2

Since triangles (A) and (B) are similar, their corresponding sides are proportional. Using the given lengths, we can set up a proportion to find the possible lengths of the other two sides of triangle (B):

[ \frac{{\text{{side of triangle }} B}}{{\text{{side of triangle }} A}} = \frac{{\text{{side of triangle }} B}}{{7}} = \frac{{3}}{{5}} ]

Solving for the side of triangle (B), we get:

[ \text{{side of triangle }} B = \frac{{3 \times 7}}{{5}} = \frac{{21}}{{5}} = 4.2 ]

So, one possible length of the other side of triangle (B) is (4.2).

We can also use a similar process to find the other possible length:

[ \frac{{\text{{side of triangle }} B}}{{\text{{side of triangle }} A}} = \frac{{\text{{side of triangle }} B}}{{7}} = \frac{{3}}{{4}} ]

Solving for the side of triangle (B), we get:

[ \text{{side of triangle }} B = \frac{{3 \times 7}}{{4}} = \frac{{21}}{{4}} = 5.25 ]

So, the other possible length of the other side of triangle (B) is (5.25).

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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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