29. Ceostrat a parallelogram ABCD which AB = 6 cm. 24 = 60° and BC = 5 cm.
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Construct a parallelogram ABCD in which AB =4cm , BC =5cm and ∠ B =60
∘
.
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In paralleogram ABCD
AB=DC=4cm [Opposite sides are equal]
BC=AD=5cm
∠B=60
∘
and,
∠A+∠B=180
∘
[Sum of cointerior angles]
⇒∠A=120
∘
Steps of construction :
Step 1. Draw a line segment AB=4cm
Step 2. Draw a ray BX such that ∠ABX=60
∘
Step 3.Mark a point C such that BC=5cm
Step 4. Draw a ray AY such that ∠YAB=120
∘
Step 5. Mark a point D such that AD=5cm
Step 6. Join C and D.
Hence, ABCD is a required parallelogram.
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