Question

Construct a quadrilateral ABCD in which BC = 4 cm, CD = 6, DA = 5 cm, AC = 7 cm and BD =8cm.​

Answer 1

Draw a line segment AB = 6cm.
⇒ With B as a center and radius BC = 4cm, draw an arc.
⇒ With A as a center and radius AC = 8cm, draw an arc intersecting the previous arc at point C.
⇒ Again take B as a center and radius BD = 7cm, draw an arc.
⇒ With C as a center and radius CD = 7cm, draw an arc intersecting the previous arc at point D.
⇒ Join AC, BC, BD, CD and AD.
Thus, ABCD is a required quadrilateral.