0

Guest

Courses New

If ABCD is a square then show that the sides A,B,C,and D are concyclic

If ABCD is a square then show that the sides A,B,C,and  D are concyclic
 

Grade:

1 Answers

Rishi Sharma
askIITians Faculty 646 Points
2 years ago
Dear Student,
Please find below the solution to your problem.

First of all, let me tell you what are concyclic points.
The points which lie on the same circle are called concyclic points.
So in this question, it's clear by now that we have to prove that the four vertices of the square are lying on the same circle.

For better understanding, you can refer the image. Now, the condition to prove this is If (AC)(BD) = (AB)(CD) + (BC)(AD).
Here AC = BD = diagonal of the square which is nothing but x root 2.
(x root 2)(x root 2) = 2 x square = L.H.S
R.H.S = (x)(x) + (x)(x) = x square + x square = 2 x square = L.H.S [Hence Proved]

Thanks and Regards

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

Other Related Questions on Analytical Geometry

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More