Question

What is the value of x?

Answer 1

3

Explanation:

Triangles with the same shape but different size are proportional. Proportional means that their side lengths form equal ratios. To solve for x, set up a proportion.

The ratios we will create will be
`(long)/(short) =(long)/(short)` where each long and short are corresponding sides from each triangle.

So write:

`(4)/(x) =(3)/(2.25)`

To solve, cross multiply numerator with denominator.

4(2.25) = 3(x)

9 = 3x

3 =x