Question

In the given figure, ∆AHK is similar to ∆ABC. If AK = 10 cm, BC = 3.5 cm and HK = 7 cm, find AC.

Answer 1

Given: `Δ AHK ∼ Δ ABC`

AK = 10 cm

BC = 3.5 cm

HK = 7 cm

To find: AC

Since ,` Δ AHK ∼ Δ ABC `so their corresponding sides are proportional.

`(AC)/(AK)=(BC)/(HK)`

`(AC)/10=3.5/7`

`AC= 5 cm`