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Draw a circle with radius 3 cm and inscribe an equilateral triangle in it.

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Without using set squares or protractor, construct a quadrilateral ABCD in which ∠ BAD = 45° , AD = AB = 6 cm, BC= 3.6 cm and CD=5 cm. Locate the point P on BD which is equidistant from BC and CD.
Without using set squares or protractor, construct a quadrilateral ABCD in which ∠ BAD = 45° , AD = AB = 6 cm, BC= 3.6 cm and CD=5 cm.
(i) Measure ∠BCD
(ii) Locate point P on BD which is equidistant from BC and CD.

| Marks | $5$ | $10$ | $15$ | $20$ | $25$ | $30$ |
| Number of students | $6$ | $4$ | $6$ | $12$ | $x$ | $4$ |