Question

Construct a quadiraletral ABCD in which DC=3.5 cm,AD=3cm,BC=2.7 cm,angle D=75 degrees and angle C=65 degrees

Answer 1

To draw a quadrilateral ABCD with DC = 3.5 cm, AD = 3 cm, BC = 2.7 cm <D = 75 deg. and <C = 65 deg.

Construction: Draw a line 3.5 cm long and name the ends as D and C,

At D make an angle <CDP = 75 deg. With a compass and with D as the centre, draw an arc of 3 cm radius to cut DP at A.

At C make an angle <DCQ = 65 deg. With a compass and with C as the centre, draw an arc of 2.7 cm radius to cut CQ at B.

Join AB.

Now you have ABCD as the required quadrilateral

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