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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.
संबंधित प्रश्न
Draw a circle of radius 3 cm. Take two points P and Q on one of its extended diameter each at a distance of 7 cm from its centre. Draw tangents to the circle from these two points P and Q. Give the justification of the construction.
Draw a line AB = 5 cm. Mark a point C on AB such that AC = 3 cm. Using a ruler and a compass only, construct:
- A circle of radius 2.5 cm, passing through A and C.
- Construct two tangents to the circle from the external point B. Measure and record the length of the tangents.
In the figure given below, diameter AB and chord CD of a circle meet at P. PT is a tangent to the circle at T. CD = 7.8 cm, PD = 5 cm, PB = 4 cm. Find:
1) AB.
2) the length of tangent PT.
Draw a circle of radius 3 cm. Mark a point P at a distance of 5 cm from the centre of the circle drawn. Draw two tangents PA and PB to the given circle and measure the length of each tangent.
Draw a circle of radius 3.5 cm. Mark a point P outside the circle at a distance of 6 cm from the centre. Construct two tangents from P to the given circle. Measure and write down the length of one tangent.
Draw a pair of tangents to a circle of radius 3 cm, which are inclined to each other at an angle of 60°.
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.
Which of the following is not true for a point P on the circle?
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?
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?
