Scale and Similarity:Question 10 Given that the two right triangles below are similar, what is the value of x?
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To solve the exercise you can apply the ratio
[tex]\frac{5}{2}=\frac{x}{4}[/tex]Now, multiply by 4 on both sides of the equation
[tex]\begin{gathered} \frac{5}{2}\cdot4=\frac{x}{4}\cdot4 \\ \frac{5\cdot4}{2}=x \\ \frac{20}{2}=x \\ 10=x \end{gathered}[/tex]Therefore, the value of x is 10.