NCERT Solutions for Class 9 Maths Chapter 5

Important NCERT Questions

Introduction To Euclid’s Geometry

NCERT Books for Session 2022-2023

CBSE Board and UP Board Others state Board

EXERCISE 5.1

Page No:86

Questions No: 4

# If a point C lies between two points A and B such that AC = BC, then prove that AC = ½ AB. Explain by drawing the figure.

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Given: AC = BC

⇒ AC + AC = AC + BC [∵ Equals are added to equals]

⇒ 2AC = AB [∵ AC +BC coincides with AB]

⇒ AC = 1/2 AB [∵ Things which are halves of the same things are equal to one another]