Question

Find the area of a equalaterel triangle with side 10 cm . please answer it quickly if u know ​

Answer 1

Given :

The side of a equilateral triangle =10cm

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To Find :

• The area of a equilateral triangle =?

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Formulas :

$\\ \sf{Area \: of \: a \: Equilateral \: triangle =\dfrac{\sqrt{3}}{4} (side) ^{2}}$

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Solution :

• Side =10cm

$\\ \implies \sf \: area \: of \: a \: equilateral \: triangle = \frac{ \sqrt{3} }{4} {(side)}^{2} \\ \\ \\ \implies \sf \: area \: of \: a \: equilateral \: triangle = \frac{ \sqrt{3} }{4} {(10)}^{2} \\ \\ \\ \implies \sf \: area \: of \: a \: equilateral \: triangle = \frac{ \sqrt{3} }{4} \times 100 \\ \\ \\ \implies \boxed{ \sf{area \: of \: a \: equilateral \: triangle \: is \: 25 \sqrt{3} {cm}^{2} }}$

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Additional Formulas :

•Area of rectangle =$\bf{L \times b}$

•Area of triangle =$\bf{\dfrac{1}{2}(b \times h) }$

Answer 2

Step-by-step explanation:

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$\Large\bf{\underbrace{\underline{Question:-}}}$

$\leadsto$ $\sf{●\ Find\ the\ area\ of\ a\ equilateral\ triangle\ with\ side\ 10cm.}$

$\Large\bf{\underbrace{\underline{To\ find:-}}}$

$\leadsto$ $\sf{●\ In\ this\ question\ we\ have\ to\ find\ the\ area\ of\ the\ equilateral\ triangle.}$

$\Large\bf{\underbrace{\underline{Given:-}}}$

$\leadsto$ $\sf{●\ The\ side\ of\ a\ equilateral\ triangle\ =\ 10cm.}$

$\large\bf{\underbrace{\underline{Formula\ to\ be\ used:-}}}$

$\leadsto$ $\sf{●\ Area\ of\ Equilateral\ triangle\ =\ \dfrac{√3}{4}\ (side)²}$

$\Large\bf{\underbrace{\underline{Solution:-}}}$

$\leadsto$ $\sf{\qquad Area\ of\ equilateral\ triangle\ =\ \dfrac{√3}{4}\ (side)² \qquad}$

$\leadsto$ $\sf{\qquad Area\ of\ equilateral\ triangle\ =\ \dfrac{√3}{4}\ (10)² \qquad}$

$\leadsto$ $\sf{\qquad Area\ of\ equilateral\ triangle\ =\ \dfrac{√3}{4}\ ×\ 100 \qquad}$

$\leadsto$ $\sf{\qquad Area\ of\ equilateral\ triangle\ =\ 25\ \sqrt{3}cm². \qquad}$

$\Large\bf{\underbrace{\underline{Hence,}}}$

$\sf{●\ The\ area\ of\ equilateral\ triangle\ is\ 25\ \sqrt{3}cm²\ ●}$

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