Question

if a circle of radius 32cm is there and an equilateral triangle is inscribed in it then find the length of side of triangle?​

Answer 1

Answer:

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Step-by-step explanation:

$so \: let \: \: x .cm\: \: be \: the \: side \: of \: an \: \\ equilateral \: triangle \: inscribed \: in \: \\ certain \: circle \\ \\ so \: as \: this \: equilateral \: angle \: is \: inscribed \\ in \: certain \: circle \\ this \: circle \: would \: be \: its \: circumcircle \: as \\ it \: circumscribes \: it \\ moreover \: its \: radius \: would \: be \: termed \: \\ as \: circumradius$

$so \: we \: know \: that \\ circumradius \: of \: equilateral \: triangle = \frac{side}{ \sqrt{3} } \\ \\ hence \: then \\ 32 = \frac{a}{ \sqrt{3} } \\ \\ = 32 \times \sqrt{3} \\ \\ a = 32 \sqrt{3} .cm$