#### Question

Construct a quadrilateral ABCD in which BC = 7.5 cm, AC = AD = 6 cm, CD = 5 cm and BD = 10 cm.

#### Solution

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

Is there an error in this question or solution?

Solution Construct a Quadrilateral Abcd in Which Bc = 7.5 Cm, Ac = Ad = 6 Cm, Cd = 5 Cm and Bd = 10 Cm. Concept: Constructing a Quadrilateral - When Two Diagonals and Three Sides Are Given.