Question

What is the value of x in the diagram below?

Answer 1

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

$\frac{x}{8}= \frac{18}{48} \\ \\x=(8*18)/48 \\ \\x=3\ units$

therefore

the answer is the option C

$3$

Answer 2

Answer:

(C) x=3

Step-by-step 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:

$\frac{18}{x}=\frac{48}{8}$

On cross multiplying, we get

$x=\frac{18{\times}8}{48}$

$x=\frac{18}{6}$

$x=3$

Hence, the value of x is 3.

Therefore, the option C is correct.