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प्रश्न
Using ruler and compasses only construct a triangle ABC in which BC = 4 cm, ∠ACB = 45° and perpendicular from A on BC is 2.5 cm. Draw a circle circumscribing the triangle ABC and measure its radius.
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उत्तर
Steps of construction:
- Draw a line segment BC = 4 cm.
- At C, draw a perpendicular line CX and from it, cut off CE = 2.5 cm.
- From E, draw another perpendicular line EY.
- From C, draw a ray making an angle of 45° with CB, which intersects EY at A.
- Join AB.
- ΔABC is the required triangle.
- Draw perpendicular bisectors of sides AB and BC intersecting each other at O.
- With centre O, and radius OB, draw a circle which will pass through A, B and C.
Measuring the radius OB = OC = OA = 2 cm.
संबंधित प्रश्न
Draw a circle of radius 3 cm. Take a point at a distance of 5.5 cm from the centre of the circle. From point P, draw two tangents to the circle.
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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:
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- Construct two tangents to the circle from the external point B. Measure and record the length of the tangents.
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Draw a circle of radius 3.5 cm. Take two points A and B on one of its extended diameter, each at a distance of 5 cm from its center. Draw tangents to the circle from each of these points A and B.
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Draw a circle of radius 4 cm. Take a point P outside the circle without using the center at the circle. Draw two tangents to the circle from point P.
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 ______.
Which of the following is not true for a point P on the circle?
