Question

Construct the following quadrilaterals (if possible). Justify your answer it
construction is not possible.
(a) Construct a quadrilateral ABCD in which AB = CD = BC = AD = 5 cm and
diagonal AC = 6.5 cm.​

Answer 1

First we have to check that the diagonals are correct or not

For this we use Pythagoras theorem

AC^2=AB^2+BC^2

6.5 × 6.5 = 5 × 5 + 5 × 5

42.25= 25 + 25

42.25 = 50

Hence they are not equal

This means we can't form any quadrilateral with this given sides

Answer 2

Answer:

No, This quadrilateral is not possible.

Step-by-step explanation:

By using Pythagoras Theorem,

(h² = p² + b²)

(6.5)² = 5² + 5²

=> 42.25 = 25 + 25

=> 42.25 ≠ 50

So, It is not possible to draw this quadrilateral.