#### Question

Construct a quadrilateral ABCD, when AB = 3 cm, CD = 3 cm, DA = 7.5 cm, AC = 8 cm and BD = 4 cm.

#### Solution

If we consider a triangle ABD from the given data, then

AB = 3 cm

BD = 4 cm

AD = 7.5 cm

AB + BD = 3 + 4 = 7 cm

However, we know that the sum of the lengths of two sides of a triangle is always greater than the third side.

Therefore, construction is not possible from the given data.

Is there an error in this question or solution?

Solution Construct a Quadrilateral Abcd, When Ab = 3 Cm, Cd = 3 Cm, Da = 7.5 Cm, Ac = 8 Cm and Bd = 4 Cm. Concept: Constructing a Quadrilateral - When Two Diagonals and Three Sides Are Given.