Question

The diagonals of a quadrilateral are of length 6 cm and 8 cm if the diagonals bisect each other at right angle what is the length of each side of the quadrilateral
plz give full solution​

Answer 1

Answer:

We know in rhombus diagonals bisect each other at right angle. In ΔAOB BO = BD/2 = 6/2 = 3cm AO = AC/2 = 8/2 = 4cm Using Pythagoras theorem in ΔAOB AB2 = AO2 + BO2 AB2 = 42 + 32 AB2 = 16 + 9 AB2 = 25 AB = √25 = 5cm ∴ Length of each side of a Quadrilateral ABCD is 5cm.

Answer 2

Answer:  We know in rhombus diagonals bisect each other at right angle.

In ΔAOB BO = BD/2 = 6/2 = 3cm AO = AC/2 = 8/2 = 4cm

Using Pythagoras theorem in,

ΔAOB AB2 = AO2 + BO2 AB2 = 42 + 32 AB2    

 = 16 + 9 AB2 = 25 AB = √25 = 5cm

∴ Length of each side of a Quadrilateral ABCD is 5cm.

Hope this helps you.... CHEERS!!!