Question

Scale and Similarity:Question 10 Given that the two right triangles below are similar, what is the value of x?

Answer 1

To solve the exercise you can apply the ratio

$\frac{5}{2}=\frac{x}{4}$

Now, multiply by 4 on both sides of the equation

$\begin{gathered} \frac{5}{2}\cdot4=\frac{x}{4}\cdot4 \\ \frac{5\cdot4}{2}=x \\ \frac{20}{2}=x \\ 10=x \end{gathered}$

Therefore, the value of x is 10.