Question

1. If the diagonals of a rhombus are 9 cm and 12 cm, find its
sides.​

Answer 1

Answer:

hope it's helpful for u

Answer 2

$\huge\sf\pink{Answer}$

☞ All the sides are 7.5 cm

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$\huge\sf\blue{Given}$

✭ Diagonals of a rhombus are 9 cm and 12 cm

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$\huge\sf\gray{To \:Find}$

☆ Its sides?

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$\huge\sf\purple{Steps}$

Let AC = 9 cm and BD = 12 cm

We know that,

The diagonals of a rhombus bisect each other at right angles, i.e., 90°

Therefore,

➢ AO = OC = 4.5 cm

➢ BO = OD = 6 cm

Now, In ΔBOC,

➳ BO = 8 cm

➳ OC = 6 cm

➳ $\sf\color{aqua}{\angle BOC = 90\degree}$

Using Pythagoras theorem,

BC² = BO² + OC²

➝ BC² = (4.5)² + 6²

➝ BC² = 20.25 + 36

➝ BC² = 56.25

➝ BC = √56.25

➝ $\sf\color{lime}{BC = 7.5 cm}$

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