Question

Construct a quadrilateral ABCD, given diagonal AC= side AD= 6 cm , side BC = 7.5cm , side CD = 5 cm and diagonal BD = 10cm​

Answer 1

Answer:

Steps of the constructions:

Step I:- Draw the AC=6 cm

Step II:- With A as the center and radius 6 cm and draw an arc.

Step III:- With C as the center and radius 5 cm and draw an arc to intersect the arc drawn step II at D.

Step IV:- With D as the center and radius 10 cm and draw an arc on the other side of the line segment AC.

Step V:- With C as the center and radius 7.5 cm and draw an arc to intersect the arc drawn in step IV at B.

Step VI:- Join BA,DA,BC, and CD to obtain the required quadrilateral.

Step-by-step explanation:

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Answer 2

✰ See the attachment for construction.

Steps of construction : 

Step I : Draw AC = 6 cm . 

Step II : With A as the centre and radius 6 cm, draw an arc . 

Step III : With C as the centre and radius 5 cm, draw an arc to intersect the arc drawn in Step II at D . 

Step IV : With D as the centre and radius 10 cm, draw an arc on the other side of the line segment AC . 

Step V : With C as the centre and radius 7 . 5 cm, draw an arc to intersect the arc drawn in Step IV at B . 

Step VI : Join BA, DA, BC and CD to obtained the required quadrilateral .

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