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

Question

Philoid · Accepted Answer

If we consider a triangle ABD in the given quadrilateral ABCD 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.