Question

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

Answer 1

(i1 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  

Let OD 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