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Construct a Square Abcd, When: One Diagonal = 5.4 Cm - Mathematics

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Question

Construct a square ABCD, when: One diagonal = 5.4 cm.

Sum
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Solution

We know that the diagonals of a square are equal and bisect each other at right angles.

Steps:

1. draw AC = 5.4cm.

2. Draw the right bisector XY of AC, meeting AC at O.

3. From O, set off OB = `1/2` (5.4) = 2.7cm along OY and along OX.

4. Join AB, BC, CD, and DA.

ABCD is the required square. 

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Square: Properties and Construction
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Chapter 15: Construction of Polygons (Using ruler and compass only) - Exercise 15 [Page 190]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 15 Construction of Polygons (Using ruler and compass only)
Exercise 15 | Q 29 | Page 190
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