Question

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

Answer 1

Answer:

692.8 cm^

Explanation:

Given data,

side(a)=40cm

Area of equilateral triangle=√3/4a^ cm^

=√3/4*(40)^ cm^

=√3/4*1600 cm^

=√3*400 cm^

=1.732*400 cm^

=692.8 cm^

Answer 2

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

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

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

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

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