# Read the following statement:An equilateral triangle is a polygon made up of three-line segments out of which two-line segments are equal to the third one and all its angles are 60° each. Define the terms used in this definition which you feel necessary. Are there any undefined terms in this? Can you justify that all sides and all angles are equal in an equilateral triangle?

The terms need to be defined are.

i: Polygon: A closed figure bounded by three or more-line segments.

ii: Line segment: part of line with two end points.

iii: Line: undefined term

iv: Point: undefined term

v: Angle: in a figure is formed by two rays with one common initial point.

vi: Acute angle: is an angle whose measure is between 0° to 90°.

Here undefined terms are line and point.

All the angles of equilateral triangle are 60° each (given)

Two-line segments are equal to third one (given)

Therefore, all three sides of an equilateral triangle are equal.

According to Euclid’s axiom, things which are equal to the same thing are equal to one another.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Know About Euclids Geometry46 mins  Euclid's Fifth Postulate and its Applications36 mins  Euclid's Geometry51 mins  Euclid's Most Interesting Postulate.42 mins  Doubt Session - Introduction to Euclid's Geometry32 mins  Quiz | Imp. Qs. on Coordinate Geometry39 mins  Know How to Solve Complex Geometry Problems!27 mins  Introduction to Heat45 mins  Coordinate Geometry45 mins  Quiz | Euclid's Geometry44 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :