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Question 37. If the sides of a rectangle touch a circle, prove that the rectangle is a square.

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One of the most important and exam oriented question from Chapter name- circles
Topic – Angle properties of circles
Chapter number- 15

In this question it is given that the sides of a rectangle touch a circle,

Now using the properties of circle we have to prove that the rectangle is a square.

ICSE Avichal publication
Understanding ICSE Mathematics
Question 37

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1 Answer

  1. Solution:
    Given: A circle touches the sides AB, BC, CD and DA
    of a rectangle ABCD at P, Q, R and S respectively.
    ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 15 Circles Ex 15.3 Q37.1
    To Prove : ABCD is a square.
    ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 15 Circles Ex 15.3 Q37.2

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