Question

The length of the diagonal of a rhombus are 16cm and 12cm. Find the side of the rhombus

Answer 1

in rohmbus ABCD
AC and BD are the diagonals of length 16 and 12cm resp.

AB = BC = CD = AD
IN ∆AOB
angle AOB =90°
AO = 8cm
BO= 6cm
by Pythagoras theorem
AB² = OB² + OA²
AB² = 8²+ 6²
AB²= 64+36
AB²= 100
AB = 10cm
=> AB=BC=CD=AD =10cm

May this helps u

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.