Question

the diagonal of a rhombus are 6cm and 8cm find the length of side of the rhombus ​

Answer 1

Answer:

Let: ₙABCD be the Rhombus

Such that AC = 6cm

                DB = 8cm

Let: AC and DB intersect at 'O'

To find: Length of AB

We know that,

In a Rhombus, the line bisect each other perpendicularly

DA = DC = 3cm

OD = OB = 4cm

In ΔAOB, <O = 90°

AB² = OA² + OB²

AB² = AO² + OB²

AB² = 3² + 4²

AB² = 25

AB² = 5²

∴ AB² = 5cm

Hence, the Length of eachside of a Rhombus is 5cm

Diagram is in Attachment!