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प्रश्न
Construct an isosceles triangle ABC such that AB = 6 cm, BC = AC = 4 cm. Bisect ∠C internally and mark a point P on this bisector such that CP = 5 cm. Find the points Q and R which are 5 cm from P and also 5 cm from the line AB.
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उत्तर
Steps of construction:
- Draw a line segment AB = 6 cm.
- With centers A and B and radius 4 cm, draw two arcs which intersect each other at C.
- Join CA and CB.
- Draw the angle bisector of angle C and cut off CP = 5 cm.
- A line m is drawn parallel to AB at a distance of 5 cm.
- P as centre and radius 5 cm, draw arcs which intersect the line m at Q and R.
- Join PQ, PR and AQ.
Q and R are the required points.
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संबंधित प्रश्न
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Describe completely the locus of a point in the following case:
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Using a ruler and compass only:
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Measure ∠BCP.
Using ruler and compasses construct:
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(iii) a circle touching AB at A and passing through C.
Use ruler and compasses only for this question. Draw a circle of radius 4 cm and mark two chords, AB and AC, of the circle of length 6 cm and 5 cm respectively.
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How will you find a point equidistant from three given points A, B, C which are not in the same straight line?
Given ∠BAC (Fig), determine the locus of a point which lies in the interior of ∠BAC and equidistant from two lines AB and AC.
