Question

The length of diagonal of a rhombus are 16cm and 12cm,respectively. What is length of its side

Answer 1

The sides of Rhombus are 10 cm.

Answer 2

Step-by-step explanation:

Given:

The length of diagonal of a rhombus are 16cm and 12cm,respectively.

To Find:

The side of the rhombus

Solution:

AC=12cm

BD=16cm

OA=1/2AC=6cm

OB=1/2BD=8cm

And we know that the angle opposite to right angle is the hypotnuse and diagonals of rhombus bisect at 90°

So,

(AB)²=(OA)²+(OB)²

(AB)²=6²+8²

(AB)²=36+64

(AB)²=100

AB=√100=10cm

So, the side of the rhombus = 10 cm