# Find the value of y in the following figure?

Mar 13, 2017

$y = 26.25$

#### Explanation:

If you take the ratio between the side length you have the same value, i.e.:

$\frac{30}{16} = \frac{45}{24} = 1.875$

As the two sides are proportional and included angles are also equal, the two triangles are similar and hence, the third sides too should be proportional.

Now, we can find $y$ as:

$\frac{y}{14} = 1.875$

y=14×1.875=26.25

I hope...