Question

What is the value of x? Enter your answer in the box.

Answer 1

We will use the angle bisector theorem here for $\angle GEH$. ED being the angle bisector.

Thus, from the diagram we will have:

$\frac{HD}{DG} =\frac{EH}{EG}$

We will now plug in the values given in the diagram.

$\frac{35}{x+4} =\frac{56}{44.8}$

$x+4=\frac{35\times 44.8}{56}$

$x+4=28$

$x=24$