Triangle A has sides of lengths #27 #, #12 #, and #21 #. 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

Possible lengths of the triangle B are

Case (1)
#3, 5.25, 6.75#

Case (2)
#3, 1.7, 3.86#

Case (3)
#3, 1.33, 2.33#

Triangles A & B are similar. Case (1) #:.3/12=b/21=c/27# #b=(3*21)/12= 5.25# #c=(3*27)/12= 6.75#
Possible lengths of other two sides of triangle B are #3, 5.25, 7.75#
Case (2) #:.3/21=b/12=c/27# #b=(3*12)/21=1.7# #c=(3*27)/21=3.86#
Possible lengths of other two sides of triangle B are #3, 1.7, 3.86#
Case (3) #:.3/27=b/12=c/21# #b=(3*12)/27=1.33# #c=(3*21)/27=2.33#
Possible lengths of other two sides of triangle B are #3, 1.33, 2.33#
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Answer 2

To find the possible lengths of the other two sides of Triangle B, which is similar to Triangle A, you can use the property of similarity that corresponding sides of similar triangles are proportional.

  1. First, determine the scale factor of similarity between the two triangles. You can do this by comparing corresponding sides. Let's denote the scale factor as ( k ).

[ k = \frac{{\text{{side length of triangle B}}}}{{\text{{side length of triangle A}}}} = \frac{3}{27} ]

  1. Simplify the fraction to find the scale factor ( k ).

  2. Now, apply this scale factor to the other sides of Triangle A to find the corresponding sides of Triangle B.

[ \text{{Side length of Triangle B}} = k \times \text{{Side length of Triangle A}} ]

  1. Calculate the lengths of the other two sides of Triangle B using the scale factor ( k ).
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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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