Question

If the each side of equalaterial triangle is a cm. what is the area?​

Answer 1

Explanation:

`area \: of \: a \: triangle = (1)/(2) * base * height \\ \\ base = (a)/(2) cm \\ {h}^(2) + {( (a)/(2) )}^(2) = {a}^(2) \\ \\ h = \sqrt{ {a}^(2) - \frac{ {a}^(2) }{4} } \\ \\ area \: of \: triangle = (1)/(2) * b * h \\ = (1)/(2) * (a)/(2) * \sqrt{ {a}^(2) - \frac{ {a}^(2) }{4} } \\ \\ = (a)/(4) * \sqrt{ {a}^(2) - \frac{ {a}^(2) }{4} }`