Question

ABCD is a paralleogram whose diagonals interdect each other at right angle .if the length of the diagonals is 6 cm and 8cm find the length of all the sides of the parallelogram.

Answer 1

Answer: PLEASE MARK BRAINLIEST ANSWER

Parallelogram whose diagonals intersect each other at right angle is a Rhombus

so length of All sides are equal

Let O is the point of intersection

So,

AB² = AO² + BO² (Triangle AOB is right angled at O)

AB² = (6/2)² + (8/2)² = 3² + 4²

AB² = 9 + 16 = 25

AB = √25 = ±5

AB≠ -5 (Because length cannot be negative)

Hence AB = 5

So, all the sides are :

AB = 5cm

BC = 5cm

CD = 5cm

AD = 5cm