Subscribe to our Youtube Channel - https://you.tube/teachoo

Last updated at Dec. 8, 2016 by Teachoo

Transcript

Example 2 Prove that an equilateral triangle can be constructed on any given line segment. Equilateral triangle is a triangle with all sides equal. We prove this by geometry. 1. Draw a line segment AB of any length. 2. Take compass, put the pointy end at point A & pencil at point B. 3. Draw an arc. Here we draw an arc of radii AB. 4. Now put the pointy end at B & pencil at A. 5. Draw another arc. Here we draw an arc of radii BA. 6. Mark the intersecting point as C. 7. Join point A to point C by a straight line. 8. Join point B to point C by a straight line. We need to prove AB = AC = BC Now AC = AB (Radii of same circle) & BC = AB (Radii of same circle) From Euclid’s axiom, things which are equal to the same thing are equal. So, AC = BC. So, we get AB = AC = BC , ∴ ∆ABC is an equilateral triangle.

Axioms

What is Geometry

Euclid’s Definitions

What is difference between Axioms, Postulates and Theorems?

What is Euclid’s Geometry

Euclid’s axioms

Example 1 Not in Syllabus - CBSE Exams 2021

Ex 5.1, 4 Important Not in Syllabus - CBSE Exams 2021

Ex 5.1, 6 Not in Syllabus - CBSE Exams 2021

Ex 5.1, 5 Not in Syllabus - CBSE Exams 2021

Example 2 Not in Syllabus - CBSE Exams 2021 You are here

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.