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प्रश्न
Construct an equilateral triangle ABC with side 6 cm. Draw a circle circumscribing the triangle ABC.
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उत्तर
Steps of construction:
- Draw a line segment BC = 6 cm.
- With centers B and C, draw two arcs of radius 6 cm which intersect each other at A.
- Join AC and AB.
- Draw perpendicular bisectors of AC, AB and BC intersecting each other at O.
- 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.
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संबंधित प्रश्न
Using ruler and compasses only, draw an equilateral triangle of side 4.5 cm and draw its circumscribed circle. Measure the radius of the circle.
Draw a circle of radius 4.5 cm. Draw two tangents to this circle so that the angle between the tangents is 60°.
The bisectors of angles A and B of a scalene triangle ABC meet at O.
- What is the point O called?
- OR and OQ are drawn perpendicular to AB and CA respectively. What is the relation between OR and OQ?
- What is the relation between angle ACO and angle BCO?
Draw two tangents to a circle of radius 3.5 cm form a point P at a distance of 6.2 cm form its centre.
Write the steps of construction for drawing a pair of tangents to a circle of radius 3 cm , which are inclined to each other at an angle of 60° .
Use a ruler and a pair of compasses to construct ΔABC in which BC = 4.2 cm, ∠ ABC = 60°, and AB 5 cm. Construct a circle of radius 2 cm to touch both the arms of ∠ ABC of Δ ABC.
Draw two lines AB, AC so that ∠ BAC = 40°:
(i) Construct the locus of the center of a circle that touches AB and has a radius of 3.5 cm.
(ii) Construct a circle of radius 35 cm, that touches both AB and AC, and whose center lies within the ∠ BAC.
Draw a circle of radius 3 cm and construct a tangent to it from an external point without using the center.
A circle of radius r has a center O. What is first step to construct a tangent from a generic point P which is at a distance r from O?
Draw a circle of radius 2.5 cm. Construct a pair of tangents from a point Pat a distance of 6 cm from the centre of the circle.
