Question

What is the value of x?

Answer 1

`\triangle ABD\sim\triangle CAD\ \text{therefore the sides of triangles are in proportion}\\\\(x)/(12)=(12)/(27)\ \ \ |cross\ multiply\\\\27x=144\ \ \ |:27\\\\x=(144)/(27)\\\\x=(16)/(3)\\\\\boxed{\text{Answer:}\ B.\ (16)/(3)}`