Question

The length of the diagonals of a rhombus are 16cm and, 12cm respectively. find the length of each of its sides.​

Answer 1

Answer:

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Answer 2

$\large\underline\pink{Given:-}$

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

$\large\underline\pink{To find:-}$

• Find the length of each of its side .....?

$\large\underline\pink{Solutions:-}$

Let ABCD be a rhombus.

Let AC and BD be the diagonal of the rhombus intersection at a point o.

• AC = 16cm
• BD = 12cm

we know that, the diagonal of a rhombus bisect each other at right angles.

⟹ AO = 1/2 AC

⟹ AO = 1/2 × 16

⟹ AO = 8cm

⟹ BO = 1/2 BD

⟹ BO = 1/2 × 12

⟹ BO = 6cm

from the right ∆AOB:

AB² = AO² + BO²

= (8)² + (6)²

= 64 + 36

= 100

= √100

= 10cm

Hence, the length of the side AB is 10cm.

AB = BC = CD = DA = 10cm

(All sides of a rhombus are equal)