Mathematics
Using ruler and compasses only, construct a parallelogram ABCD with AB = 6 cm, altitude = 3.5 cm and side BC = 4 cm. Measure the acute angles of the parallelogram.
Answer
Steps of construction:
- Draw AB = 6 cm.
- At B, draw BP ⊥ AB.
- From BP, cut BE = 3.5 cm = height of || gm.
- Through E draw QR parallel to AB.
- With B as centre and radius = 4 cm draw an arc which cuts QR at C.
Since, opposite sides of || gm are equal.
So, AD = BC = 4 cm - With A as centre and radius = 4 cm draw an arc which cuts QR at D.
- Join AD, BC and CD. Then ABCD is the required parallelogram.
On measuring the acute angle of parallelogram it is equal to 61°.
Hence, acute angle = 61°.
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