# Find the value of x in the figure?

In Figure (a):

In Figure (b):

Figure (a)

I have assumed that the lines labelled with

Reproducing the figure (a) with labelled vertices for reference purposes:

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Figure (b)

Similarly in figure (b) I have had to assume that sides with lengths

Again, reproducing the image with labelled vertices:

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In Fig.(a),

In Fig.(b),

In Similar Triangles, the corresponding sides are in proportion.

In Fig.(a), the small triangle ling inside the big one is similar to each other.

In Fig.(b), #x/15=12/21 rArr x=180/21~=8.57

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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.

- The angles of similar triangles are equal always, sometimes, or never?
- A triangle has corners at points A, B, and C. Side AB has a length of #32 #. The distance between the intersection of point A's angle bisector with side BC and point B is #4 #. If side AC has a length of #28 #, what is the length of side BC?
- Triangle A has an area of #4 # and two sides of lengths #12 # and #7 #. Triangle B is similar to triangle A and has a side with a length of #5 #. What are the maximum and minimum possible areas of triangle B?
- Triangle A has an area of #12 # and two sides of lengths #6 # and #9 #. Triangle B is similar to triangle A and has a side with a length of #15 #. What are the maximum and minimum possible areas of triangle B?
- A triangle has corners at points A, B, and C. Side AB has a length of #24 #. The distance between the intersection of point A's angle bisector with side BC and point B is #6 #. If side AC has a length of #16 #, what is the length of side BC?

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