Question

Construct a quadrilateral PQRS with three of its sides PQ = 6 cm, QR = 6 cm, RS = 4 cm, and two angles as angle Q = 60 and angle R = 75
Write steps of construction also.

Answer 1

Answer:

Solution:

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.

Answer 2

lets solve it !

• first draw a line segment of 6 cm QR
• Then using a protractor mark 75 degree
• Then draw a line of 75 degree
• After that take measurement of 4 cm in compass and draw an arc on the line of 75 degree
• Then mark R and S
• coming on left side Mark 60 degree using protractor
• draw a line From point Q to 60 degree
• from line of 60 degree , take a measurement of 6cm and cut an arc at line of 60 degree and right Q and P
• at last join all line