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Construction of Parallelogram When Two Adjacent Sides and the Included Angles Are Given.

Draw a parall...

Question

Draw a parallelogram ABCD, with AB = 6 cm, AD = 4.8 cm and $∠ DAB = 45^{\circ}$ . Draw the perpendicular bisector of side AD and let it meet AD at point P. Also draw the diagonals AC and BD ; and let they interest at point O. Join O and P. Measure OP.

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Solution

Steps : 1. Draw AB = 6 cm.

2. Draw $∠ PAB = 45^{\circ}$ .

3. Cut AD = 4.8 cm.

4. From D, draw an arc of radius 6 cm.

5. From B, draw an arc of radius 4.8 cm which meets first arc at C.

6. Join BC, CD, AD.

Thus ABCD is the required || gm.

7. Draw perpendicular bisector XY of AD which cuts AD at P.

8. Join AC and BD which intersect at O.

9. Join OP and measure it.

$∴$ OP = 3 cm.

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Draw a parallelogram ABCD, with AB = 6 cm, AD = 4.8 cm and ∠DAB=45∘. Draw the perpendicular bisector of side AD and let it meet AD at point P. Also draw the diagonals AC and BD ; and let they interest at point O. Join O and P. Measure OP.

Draw a parallelogram ABCD, with AB = 6 cm, AD = 4.8 cm and $∠ DAB = 45^{\circ}$ . Draw the perpendicular bisector of side AD and let it meet AD at point P. Also draw the diagonals AC and BD ; and let they interest at point O. Join O and P. Measure OP.