Question

ZWhat is the length of

Answer 1

The figure shown is a question of similar triangles.

I will be breaking the figure down into a small triangle and a bigger triangle.

By similarity, we compare similar sides of the triangle

Side MX = x

`\begin{gathered} (3.5)/(x)=(17.5)/(x+12) \\ \text{Cross multiplying, we have} \\ 17.5x=3.5(x+12) \\ 17.5x=3.5x+42 \\ 17.5x-3.5x=42 \\ 14x=42 \\ x=(42)/(14) \\ x=3 \end{gathered}`

Therefore, the length of the side MX is 3cm. (Option A)