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If the side of an equilateral triangle is 222\sqrt222​​ cm, then the length of the perpendicular drawn from vertex to the side is:
Question

If the side of an equilateral triangle is 222\sqrt2​ cm, then the length of the perpendicular drawn from vertex to the side is:

A.

5 cm\sqrt5\space\text{cm}​​

B.

6 cm\sqrt6\space\text{cm}​​

C.

7 cm\sqrt7\space\text{cm}​​

D.

2 cm

Correct option is B

Given:

Side of the equilateral triangle =222\sqrt{2}  cm 

Formula Used:

Altitude =32×side \frac{\sqrt{3}}{2} \times \text{side}

Solution:

Altitude =32×22=32=6 \frac{\sqrt{3}}{2} \times 2\sqrt{2} = \sqrt{3} \cdot \sqrt{2} = \sqrt{6} cm

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