allison0210 allison0210
  • 18-04-2021
  • Mathematics
contestada

An equilateral triangle has a side length of 10 units. What is it’s area?

Respuesta :

kimchiboy03 kimchiboy03
  • 18-04-2021

Answer:

[tex]25\sqrt{3}=43.3\ \mathrm{units}[/tex]

Step-by-step explanation:

Area of a triangle = [tex]\frac{1}{2}ab\textrm{sin}(\theta)[/tex] where [tex]a[/tex] and [tex]b[/tex] are the sides of the triangle and [tex]\theta[/tex] is the angle between those two sides.

The side length are 10, and since its an equilateral triangle, the angle is 60 degrees. Thus, the area becomes [tex]\frac{1}{2}(10)(10)\textrm{sin}(60)=25\sqrt{3}=43.3\ \mathrm{units}[/tex]

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