Question 195
Construct a parallelogram HOME with HO = 6 cm, HE = 4 cm and OE = 3 cm.

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Solution

Steps of Construction
Step I Draw HO = 6 cm.
Step II With H as centre and radius HE = 4 cm, draw an arc.
Step III With O as centre and radius OE = 3 cm, draw an arc intersecting the arc drawn in step II at E.
Step IV With E as centre and radius EM = 6 cm, draw an arc opposite to the side HE.
Step V With O as center and radius OM = 4 cm, draw an arc, intersecting the arc drawn in step IV at M.
Step VI Join HE, OE, EM and OM.
Hence, HOME is the required parallelogram.

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Construct the Parallelogram HEAR where
HE=5cm, EA=6cm, $∠ R = 85^{\circ}$

△ X Y Z

X Y = 4 c m, y z = 6 c m

Z X = 3 c m

In a parallelogram ABCD, O is the midpoint of intersection of diagonals and OC= $3 c m$ , OB= $6 c m$ . What is AC and BD respectively?

A B C D

A B = 6 c m, B C = 4 c m

∠ A B C = 60^{\circ}

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