Respuesta :

Here's the solution,

The given triangle is an equilateral triangle, because it's all angles measure 60° each

now,

Area of an equilateral triangle :

=》

[tex] \dfrac{ \sqrt{3} }{4} {a}^{2} [/tex]

where,

  • a = 8 ( side measure )

=》

[tex] \dfrac{ \sqrt{3} }{4} \times 8 \times 8[/tex]

=》

[tex] \sqrt{3} \times 16[/tex]

=》

[tex]16 \sqrt{3} \: \: \: cm {}^{2} [/tex]

or

=》

[tex]27.71 \: \: cm {}^{2} [/tex]