Question

Triangle BIG is similar to triangle MOP. Find v.I52ft.M60ft.90ft.B27ft.PFigure is not drawn to scale.

Answer 1

Given that

$\Delta BIG\approx\Delta MOP$

Now, from the given figure,

$\begin{gathered} \frac{BG}{MP}=\frac{60}{90} \\ =\frac{2}{3} \end{gathered}$

Since,

$\frac{IG}{OM}\ne\frac{2}{3}$

Therefore, these two sides are not similar.

We can say that MO and BI are similar. Therefore,

$\begin{gathered} \frac{BI}{MO}=\frac{v}{27}=\frac{2}{3} \\ v=\frac{2\times27}{3} \\ =18 \end{gathered}$

Thus, the value of v is 18.