Published: 4 years ago

Category: CBSE, Education, Maths

Tags: CBSE, ICSE, Learn Maths, Maths, NCERT

Description:

Equidistant Theorem – Theorem on Circles CBSE ICSE Class X

Equidistant Theorem – Theorem on Circles CBSE Class IX ICSE Class X – Theorem 3 – Equal chords of a circle are always equidistant from the centre by Ankit Mahajan for SuccessCDs Education Channel.

About this Video:

Given : Circle with Centre O

AB = CD

To Prove : OM = ON

Const : Join OA & OC

Proof : AB = CD (given)

OM is perpendicular to AB

AM = BM = ½ AB

ON is perpendicular to CD

CN = DN = ½ CD

We had AB = CD

AM = CN

In Δ OAM & ΔOCN

OA = OC (radii)

AM = CN (proved above)

OMA = ONC = 900 each

ΔOAM ΔOCN (RHS congruency)

By CPCT

OM = ON

Hence Proved!