Question

Construct
quadrilateral A B C D in which
A B = 4.5cm, (angle)ABC = 90°, BC = 5.2cm, (angle)BAD = 120°
and AD=6cm.​

Answer 1

Answer:

Construction of Quadrilaterals

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Solution:

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.

Step-by-step explanation:

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