somebody please help.. What is the area of the equilateral triangle? Round to the nearest square centimeter.

Answer:
for an equilateral triangle you need to know that:
- Sides are equal a = b = c (figure 1)
- Each angle is 60 degrees (figure 1)
- Height led from the top of the base of the triangle divide into two identical special right triangles on Measures angles 30,60,90 degrees. (figure 3)
triangle with angles : 30°,60° , 90° is the length of the sides :
1 a = a catheus (red)
2 b = a√3 catheus (red)
3 c = 2a hypotenuse
the product of the hypotenuse of the triangle is the value of the surface of an equilateral triangle
P = a*b = (1/2*68cm*√3)*(1/2*68cm) = (34√3cm) * (34cm) = 1156√3cm²
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