Question

the length of the diagonal of a rhombus are 16 cm and 12 CM the length of each side of the Rhombus

Answer 1

area of rhombus=1/2d1 d2
=1/2×16×12
=8×12
=96

Answer 2

Answer:

10 cm

Step-by-step explanation:

Consider a Rhombus ABCD as shown in attached figure.

Given That : Diagonals AC = 16 cm and BD = 12 cm

Let Diagonals intersecting at E.

We need to find:

Length of AB = BC = CD = DA [Sides of Rhombus are equal]

Now, We know that Diagonals of Rhombus bisect each other at 90°.

Observe ΔAED, which is a right angled triangle.

∴ AD² = AE² + ED²     [ By Pythagoras Theorem]

AD² = 8² + 6²              [ ∵ AE = 1/2 AC and ED = 1/2 BD]

AD² = 64 + 36

AD² = 100

AD²  = 10²

AD = 10

∴ AD = AB = BC = CD = 10 cm

Hence, each side of given Rhombus is 10 cm long.