Question

What is the value of x?

Answer 1

9

Explanation:

The two triangles
`\triangle MNP\sim \triangle RST`.

Therefore the corresponding sides are proportional.

`(|ST|)/(|PN|) =(|TR|)/(|MP|)`

From the diagram |MP|=4, |PN|=3, |MN|=5 |ST|=x and |TR|=12.

Let us substitute the values and solve for x.

`(12)/(4)=(x)/(3)`

Multiply both sides by 3 to get:

`3*(12)/(4)=(x)/(3)*3`

This implies that:

`9=x`

Therefore x=9