Home
Class 9
MATHS
Prove that an equilateral triangle can ...

Prove that an equilateral triangle can be constructed on any given line segment.

Text Solution

Verified by Experts

First draw the line AB.
to draw a equilateral triangle
draw circles from both the points of the lineAB(remember that the radius of circle should equal to the length of lineAB)
the point where both the circles are intersecting, name that point C
after joining the points AC and BC
we get the required equilateral triangle.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INTRODUCTION TO EUCLIDS GEOMETRY

    NCERT|Exercise Exercise 5.2|2 Videos
  • HERONS FORMULA

    NCERT|Exercise Solved Examples|6 Videos
  • LINEAR EQUATIONS IN TWO VARIABLES

    NCERT|Exercise EXERCISE 4.4|2 Videos

Similar Questions

Explore conceptually related problems

Prove that an equilateral triangle can be constracted on any given line segment

Prove that an equilateral triangle is equiangular.

A triangle can be constructed by taking its sides as:

Prove that the medians of an equilateral triangle are equal.

Prove that area of an equilateral triangle formed on one side of a given square is one half of area of equilateral triangle formed on diagonal is the same square.

A triangle can be constructed by taking two of its angles as:

Construct an equilateral triangle ABC of side 6cm.

With ruler and compasses, we can bisect any given line segment.

Prove that each angle of an equilateral triangle is 60^(0)

Prove that all the vertices of an equilateral triangle can not be integral points (an integral point is a point both of whose coordinates are integers).