Question

if the diagonals of a rhombus are 9cm and 12cm, find the length of its side

Answer 1

Answer:

Step-by-step explanation:

We know that the diagonals of rohmbus bisect each other at 90°.

Hence,

6²+4.5² = side²

36+20.25 = side²

56.25 = side²

Side = √56.25

= 7.5cm

Answer 2

Answer: 7.5 cm

Accordingto the diagram,

In rt triangle AOB,

AB^2= AO^2+ OB^2

= 6^2+ 4.5^2

= 36+ 20.25

= 56.25

AB = 7.5 (root of 56.25)

Thus, length of one side of rhombus= 7.5cm