Rajiv Tyagi
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Construct an equilateral triangle, given its side and justify the construction.

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NCERT Solutions for Class 9 Maths Chapter 11
Important NCERT Questions
Constructions
NCERT Books for Session 2022-2023
CBSE Board, UP Board and Other state Boards
EXERCISE 11.1
Page No:191
Questions No:5

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  1. Get Hindi Medium and English Medium NCERT Solution for Class 9 Maths to download.
    Please follow the link to visit website for first and second term exams solutions.
    https://www.tiwariacademy.com/ncert-solutions/class-9/maths/chapter-11/

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  2. Steps of construction
    (i) Draw a line segment AB of given measurement.
    (ii) Taking A and B as centre, draw arcs with same radius (equal to AB), which intersect at C.
    (iii) Join A to C and B to C.
    (iv) ΔABC is the required equilateral triangle.
    Justification
    In ΔABC,
    AB = BC [∵ By construction]
    AC = BC [∵ By construction]
    Hence, AB = BC = AC
    ⇒ Triangle ABC is an equilateral triangle.

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