Question

Construct a quadrilateral PQRS in which PQ = 4.5 cm ∠PQR = 120°, QR = 3.8 cm, ∠QRS = 100° and ∠QPS = 60°.​

Answer 1

First we draw a rough sketch of quadrilateral ABCD and write down its dimensions, as shown.

We may divide it into two triangles, namely ∆ABC and ∆ACD. (Rough Sketch) →

Steps of Construction:

Steps of Construction of Quadrilaterals

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• Step 1: Draw AB = 4.8 cm.

• Step 2: With A as center and radius equal to 6 cm, draw an arc.

• Step 3: With B as center and radius equal to 4.3 cm, draw another arc, cutting the previous arc at C.

• Step4: Join BC.

• Step 5: With A as center and radius equal to 4.2 cm, draw an arc.

• Step 6: With C as center and radius equal to 3.6 cm, draw another arc, cutting the previous arc at D.

• Step 7: Join AD and CD.

Then, ABCD is the required quadrilateral.