Question

the diagonals of a rhombus are 6cm and 8cm.find the length of each side of the rhombus.​

Answer 1

see this attachment....

hope this helps u.......!!!!!

Answer 2

Given :-

↪ The diagonals of a rhombus are 6cm and 8cm

Need To Find :-

↪Find the length of each side of the rhombus.

= ?

SoLution :-

The diagonals of a rhombus meet each other at O. So, AC and BD are divided in equal parts.

$\implies$ AO = OC and BO = OD

$\implies$ AO = 4 cm and BO = 3 cm

In triangle ABO, we need to apply Pythagoras theorem

Hypotenuse² = base² + perpendicular²

$\implies$(AB)² = (BO)² + (AO)²

$\implies$(AB)² = (3)² + (4)²

$\implies$ (AB)² = 9 + 16

$\implies$ AB² = 25

$\huge{\boxed{\bf{AB = 5 cm}}}$

Since all sides of rhombus are equal in length, so AB = BC = CD = AD = 5 cm