Question

if the diagonal of a rhombus are 12cm and 16cm, find the length of each side

Answer 1

Let the rhombus be ABCD
and diagonals are AC,BD
In a rhombus diagonals bisect each other
Therefore, AO=6cm and BO=8cm
AC perpendicular BD
Usin ? Pythagoras theory
AO^2+BO^2=AB^2
6^2+8^2=AB^2
AB=sq.rt.36+64
=sq.rt.100
AB=10cm
In a rhombus all sides are equal
AB=BC=CD=DA=10cm
Thank you

Answer 2

Question:-

The lengths of the diagonals of a rhombus are 16cm and 12cm. then find the length of the side of rhombus

Solution:-

we know that diagonal of rhombus,bisect each other in right angle ( 90° ).

we also know that all sides of rhombus are equal ( of equal length ).

so, now

Let rhombus is ABCD

Let, diagonal of rhombus

BD = 16 cm and AC = 12 cm

means,

OD = 8 cm and AO = 6 cm

By pythagorus theorem

To find length of AD ( and all side of rhombus )

=> (AD)² = (OD)² + (AO)²

=> (AD)² = (8)² + (6)²

=> (AD)² = 64 + 36

=> (AD)² = 100

=> AD = √100

=> AD = 10 cm

Hence length of all side of rhombus

is 10 cm.

i hope it helps you.