English

Construct an equilateral triangle ABC with side 6 cm. Draw a circle circumscribing the triangle ABC. - Mathematics

Advertisements
Advertisements

Question

Construct an equilateral triangle ABC with side 6 cm. Draw a circle circumscribing the triangle ABC. 

Sum
Advertisements

Solution

 
Steps of construction:

  1. Draw a line segment BC = 6 cm.
  2. With centers B and C, draw two arcs of radius 6 cm which intersect each other at A.
  3. Join AC and AB.
  4. Draw perpendicular bisectors of AC, AB and BC intersecting each other at O.
  5. With centre O and radius OA or OB or OC draw a circle which will pass through A, B and C.
    This is the required circumcircle of triangle ABC. 
shaalaa.com
  Is there an error in this question or solution?

RELATED QUESTIONS

Draw a circle with the help of a bangle. Take a point outside the circle. Construct the pair of tangents from this point to the circles. Give the justification of the construction.


Draw a circle of radius 5 cm. Draw two tangents to this circle so that the angle between the tangents is 45°.


Draw a circle of radius 32 cm. Draw a tangent to the circle making an angle 30° with a line passing through the centre.


Draw a circle of radius 4 cm. From a point 6 cm away from its centre, construct a pair of tangents to the circle and measure their lengths.


Draw a circle of radius 3 cm and construct a tangent to it from an external point without using the center.


To draw a pair of tangents to a circle which are inclined to each other at an angle of 35°. It is required to draw tangents at the end points of those two radii of the circle, the angle between which is ______.


There is a circle with center O. P is a point from where only one tangent can be drawn to this circle. What can we say about P?


Draw a circle of radius 4 cm. Construct a pair of tangents to it, the angle between which is 60º. Also justify the construction. Measure the distance between the centre of the circle and the point of intersection of tangents.


Construct a pair of tangents to a circle of radius 3 cm which are inclined to each other at an angle of 60°.


Using ruler and compass construct a triangle ABC in which AB = 6 cm, ∠BAC = 120° and AC = 5 cm. Construct a circle passing through A, B and C. Measure and write down the radius of the circle.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×