Given side = 'a' units.
(i)
We know that Height of an equilateral triangle = (Side)/2 * √3
⇒ (a)/2 * √3
⇒ (√3a)/2.
(ii)
Area of an equilateral = (1/2) * base * height
⇒ (1/2) * (a) * (√3a)/2
⇒ √3a^2/4.
Therefore,
⇒ The height of an equilateral triangle = √3a/2.
⇒ The Area of an equilateral triangle = √3a^2/4.
Hope this helps!
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Answers & Comments
Given side = 'a' units.
(i)
We know that Height of an equilateral triangle = (Side)/2 * √3
⇒ (a)/2 * √3
⇒ (√3a)/2.
(ii)
Area of an equilateral = (1/2) * base * height
⇒ (1/2) * (a) * (√3a)/2
⇒ √3a^2/4.
Therefore,
⇒ The height of an equilateral triangle = √3a/2.
⇒ The Area of an equilateral triangle = √3a^2/4.
Hope this helps!