Answer :

Given: AB||CD and AB = 10cm

Construction: Drop perpendiculars OE and OF on to AB and CD respectively.


Consider ΔBOE and ΔCOF


OB = OC (radius)

OEB = OFC (right angle)

COF = BOE (vertically opposite angles)

By AAS congruency ΔBOE ΔCOF

OE = OF (by congruent parts of congruent triangles)

Chords equidistant from center are equal in length

That is CD = AB = 10cm

CD = 10cm

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses

PQ and RQ are theRS Aggarwal & V Aggarwal - Mathematics

In a circle of raRD Sharma - Mathematics

Two equal circlesRD Sharma - Mathematics

Angle formed in mRD Sharma - Mathematics

If AB is aRD Sharma - Mathematics

The greatest chorRD Sharma - Mathematics

If two diameters RD Sharma - Mathematics

<span lang="EN-USRS Aggarwal & V Aggarwal - Mathematics