Question

Construct a quadrilateral ABCD in which
AB = 4.6cm, BD = 5cm, AC = 6cm, CD = 4.2cm and ∠A = 90°

Answer 1

AB = 4.6cm, BD = 5cm, AC = 6cm, CD = 4.2cm and ∠A = 90°

Steps of construction:
1) Draw a line segment AB = 4.6cm
2) With A as centre, draw a ray making an angle of 90° with AB
3) With B as centre and radius equal to 5cm cut an arc on the ray from A and mark it as D.
4) With D as centre and radius 4.2cm cut an arc on right side of AD.
5) With A as centre and radius 6cm cut an arc which meets the arc from D at point C.
6) Join BC.
7) ABCD is the required quadrilateral.