Question

In the figure, ABC, ADE, BFE, DFC are straight lines. AB = 20 cm, BC = 40, CF = 34 cm and FE = 25.5 cm. Calculate the length of AD.

Answer 1

@Callisto

Answer 2

Thank you for drawing a clearer diagram. How do I solve for x?

Answer 3

@Kainui
@UnkleRhaukus
@Compassionate

Answer 4

Consider △BCF and △DEF, △BCF ~ △DEF (AAA)
\[\frac{40}{DE} = \frac{34}{25.5}\]
Find DE first.

Answer 5

Thanks! Yes, DE is 30 cm. How to continue?

Answer 6

Consider △ACD and △AEB, △ACD ~ △AEB (AAA)
\[\frac{AC}{AE}=\frac{AD}{AB}\]
You can solve x then