Area Of An Equilateral Triangle As Function Of Triangle’s Side Length X Will Be? - Testpoint

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Area of an equilateral triangle as function of triangle’s side length x will be?

1/4x
√3/4x^2
√3/4x
None of these

Explanation

- The height $h$ of the equilateral triangle is $\frac{\sqrt{3}}{2} x$ .
- Using the area formula for a triangle ( $Area = \frac{1}{2} \times base \times height$ ):
  $A = \frac{1}{2} \times x \times \frac{\sqrt{3}}{2} x = \frac{\sqrt{3}}{4} x^{2}$

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