Question

In the given figure, ΔOAB ~ ΔOCD. If AB = 8 cm, BO = 6.4 cm, OC = 3.5 cm and CD = 5 cm, find (i) OA (ii) DO.

Answer 1

(i) Let OA be X cm.
∵ Δ OAB - Δ OCD 

∴`(OA)/(OC)=(AB)/(CD)`                                   

⇒ `x/3.5=8/5` 

⇒`x=(8xx3.5)/5=5.6`  

Hence, OA = 5.6 cm  

(ii) Let DO be Y cm 

∵ Δ OAB-Δ OCD 

∴ `(AB)/(CD)=(OB)/(OD)` 

⇒ `8/5=6.4/y` 

⇒` y=(6.4xx5)/8=4 ` 

Hence, DO = 4 cm