what is the height of an equilateral triangle whose side is a cm.
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your question is absolutely wrong.
I give answer like this question.
The height of the equilateral triangle whose side is 4 cm is 2√3 cm
The altitude of an equilateral triangle bisects the opposite side
Also, the altitude will be perpendicular to that side
Therefore,
In ΔABC
AB = 4 cm
BD = 2 cm
∠ADB = 90°
By Pythagoras theorem
AD² + BD² = AB²
AD² + 2² = 4²
or AD² = 16 - 4 = 12
or, AD = √12 = 2√3 cm
Therefore, the height of the equilateral triangle whose side is 4 cm is 2√3 cm
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