Question

In the given figure, OA = 5, OB = 6, OC = 3 and OD = 10, then ______.

Options

• △ AOB ∼ △ AOD

• △ AOB ∼ △ BOC

• △ BOC ∼ △ COD

• △ AOD ∼ △ COB

Answer 1

In the given figure, OA = 5, OB = 6, OC = 3 and OD = 10, then △ AOD ∼ △ COB.

Explanation:

Given,

OA = 5, OB = 6, OC = 3 and OD = 10.

⇒ `(OA)/(OC) = 5/3`

⇒ `(OD)/(OB) = 10/6 = 5/3`

∴ `(OA)/(OC) = (OD)/(OB)`

From figure,

∠AOD = ∠BOC (Vertically opposite angles are equal)

∴ △ AOD ∼ △ COB (By S.A.S. axiom)