Q5 of 31 Page 4

Is it possible to construct a quadrilateral ABCD in which AB = 3cm, CD = 3 cm, DA = 7.5 cm, AC = 8 cm and BD = 4 cm? If not, given reason.

The measurements must be such that the sum of any two sides of a traingle is greater than the third side.AB = 3 cm, CD = 3 cm, and DA = 7.5 cm, AC = 8 cm and BD = 4 cm.BD + AB = 4 cm + 3 cm = 7 cm < AD (= 7.5 cm.)∴ Δ ABD cannot be constructed.∴ The quadrilateral ABCD cannot constructed.No, the quadrilateral ABCD cannot be constructed since BD + AB < AD.

More from this chapter

All 31 →
3 Is it possible to construct a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 5.5 cm, DA = 6 cm and BD = 9 cm? If not, give reason. 4 Construct a quadrilateral ABCD in which AB = 5 cm, BC = 4 cm, AD = 3 cm, CD = 6 cm and BD = 5 cm. 6 Construct a quadrilateral ABCD in which AB = 7 cm, AD = 6 cm, AC = 7 cm, BD = 7.5 cm and BC = 4cm. 7 Construct a quadrilateral ABCD in which AB = CD = 3 cm, BC = 2.5 cm, AC = 4 cm and BD = 5 cm.