# Find the value of x in the figure?

##### 2 Answers

In Fig.(a),

In Fig.(b),

#### Explanation:

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.

Hence,

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

In Figure (a):

In Figure (b):

#### Explanation:

**Figure (a)**

I have assumed that the lines labelled with

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

Notice the similar triangles:

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**Figure (b)**

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

Again, reproducing the image with labelled vertices: