Question

Find the value of `y` in the following figure?

Answer 1

`y=26.25`

Explanation:

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

`30/16=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:

`y/14=1.875`

`y=14×1.875=26.25`

I hope...