The diagonal of a quadrilateral are of lengths 6 cm and 8 cm. If the diagonals bisect each other at right angles, what is the length of each side of the quadrilateral?

Question

Philoid · Accepted Answer

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

In ΔAOB

BO =

AO =

Using pythagorous theorem in ΔAOB

AB² = AO² + BO²

AB² = 4² + 3²

AB² = 16 + 9

AB² = 25

AB = = 6cm

Therefore length of each side of a rhombus ABCD is 5cm.