Question

Construct quadrilateral ABCD with AB = 3 cm, BC = 4 cm, CD = 4.5 cm, diagonal AC = 5 cm and diagonal BD = 5.5 cm. Write the steps. Without measuring, find \angle ABC, and give the approximate length of AD you should get.

For Makar Sankranti, Arjun makes a kite ABCD with two straight sticks: AC = 80 cm and BD = 60 cm. The sticks cross at O so that AC is the perpendicular bisector of BD, and AO = 20 cm. The paper is stretched along AB, BC, CD and DA. He first draws the design on paper with the scale 1 cm = 10 cm.