Question

4. In the given figure, CA and DB both are perpendicular
to AB and CA = DB. Prove that OA=OB.​

Answer 1

Given :-

CA = DB

To prove :-

OA = OB

Proof :-

Points which help to prove are:

1. CA = DB

(Given)

2. OC = OD

(Given in the picture)

3. Angle CAO = Angle DBO

(Both 90°)

So, as from above given points we can say that

∆ ACO ~ ∆ BDO

(By SAS axiom)

As, ∆ ACO ~ ∆ BDO.

Therefore, OA = OB.

Hence, Proved.

• Note :- SSA axiom means Side, Angle, Side Axiom.
• ~ sign means that the two triangle are congruent.