Respuesta :

Given:

The length of the sides of the triangles is given.

Required:

Find the length of the missing side.

Explanation:

Let the length of the missing side is x.

By using the triangle proportionality theorem

[tex]\frac{5}{2}=\frac{x}{14-x}[/tex]

solve the equation by cross multiplication.

[tex]\begin{gathered} 2x=5(14-x) \\ 2x=70-5x \\ 7x=70 \\ x=\frac{70}{7} \\ x=10 \end{gathered}[/tex]

Final Answer:

The missing length will be