Question

Ít is an equilateral triangle with side 60cm.

Answer 1

⇝Given :-

• All Sides = 60cm (as it is an equilateral triangle)

⇝To Find :-

• Find the area .

⇝Solution :-

${\red{✧}}{\underline{\bf{ We \: know \: that :}}}$

Special formula for area of equilateral triangle :

${\large{\red{\bigstar \: \: {\blue{\underbrace{\underline{\orange{\bf{Area{\small_{(Equilateral \: triangle)}} = \frac{ \sqrt{3} }{4} \times ({side})^{2} }}}}}}}}}$

${\red{✧}}{\underline{\bf{ Area :}}}$

${\large{:{\longmapsto{\bf{Area = \frac{ \sqrt{3} }{4} \times ({side})^{2} }}}}}$

${\large{:{\longmapsto{\bf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{ \sqrt{3} }{4} \times ({60})^{2} }}}}}$

${\large{:{\longmapsto{\bf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{ \sqrt{3} }{4} \times 3600 }}}}}$

${\large{:{\longmapsto{\bf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{ \sqrt{3} }{\cancel{4} } \times{\cancel{ 3600 }}}}}}}$

${\large{\purple{:{\longmapsto{\underline{\overline{\boxed{\bf{ 900 \sqrt{3} \: cm²}}}}}}}}}$

${\red{✧}}{\underline{\bf{ Therefore :}}}$

${\large{\green{\underline{\orange{\underline{\red{\mathfrak{(C.) \: option \: is \: correct.}}}}}}}}$

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Answered by :

${\large{\fcolorbox{green}{orange}{\blue{\tt{StudyKing 001}}}}}$