Question

Find the area of equilateral triangle whose side is 40cm
$with \: explanation \: and \: answer \: the \: correct \: only \:$
​

Answer 1

$\sf \purple{Area \: of \: equilateral \: \triangle = \frac{ \sqrt{3} }{4} \times ({side})^{2} }$

$\sf {Area \: of \: equilateral \: \triangle = \frac{ \sqrt{3} }{4} \times ({40})^{2} }$

$\sf {Area \: of \: equilateral \: \triangle = \frac{ \sqrt{3} }{ \cancel4} \times \cancel{40} \times 40}$

$\sf {Area \: of \: equilateral \: \triangle = \sqrt{3} \times 10 \times 40 }$

$\sf{\pink{ \underline{ \underline{Area \: of \: equilateral \: \triangle = 400 \sqrt{3} \: {cm}^{2} }}} }$

Answer 2

Answer:

We know,

Area of an equilateral=

4

3

side×side

=

4

3

×1600

=

4

3

×400

=1.74×400

=692.82cm

2

.

We get, 692.82cm

2

.

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