Question

What is the value of x?

Answer 1

Answer:

3

Step-by-step 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 $\frac{long}{short} =\frac{long}{short}$ where each long and short are corresponding sides from each triangle.

So write:

$\frac{4}{x} =\frac{3}{2.25}$

To solve, cross multiply numerator with denominator.

4(2.25) = 3(x)

9 = 3x

3 =x