Given:
Length of sides of smaller triangle = 4 and x
Lengths of larger sides = 10 and 25
Let's solve for the value of x.
Since both triangles are similar, the corresponding sides will be proportional.
To solve for x, apply the proportionality equation:
[tex]\frac{10}{4}=\frac{25}{x}[/tex]
Cross multiply:
[tex]\begin{gathered} 10x=25*4 \\ \\ 10x=100 \\ \\ \text{ Divide both sides by 10:} \\ \frac{10x}{10}=\frac{100}{10} \\ \\ x=10 \end{gathered}[/tex]
Therefore, the value of x is 10.
