Question

What is the value of x in the diagram below?

Answer 1

(C) x=3

Explanation:

From the figure, it can be seen that all the three angles of the triangles are equal therefore both the triangles are similar, hence using the similarity condition, we get:

`(18)/(x)=(48)/(8)`

On cross multiplying, we get

`x=\frac{18{*}8}{48}`

`x=(18)/(6)`

`x=3`

Hence, the value of x is 3.

Therefore, the option C is correct.

Answer 2

we know that

the two triangles in the figure are similar, because they have three equal angles

therefore

The ratio of the corresponding sides are equal

`(x)/(8)= (18)/(48) \\ \\x=(8*18)/48 \\ \\x=3\ units`

therefore

the answer is the option C

`3`