The altitude of an equilateral triangle bisects the base.
So, if the sides of the triangle were l cm, the altitude forms a right angled triangle with sides h, l/2 and hypotenuse l cm.
Then, by Pythagoras, h2 = 3l2 / 4 so that h = l*sqrt(3)/2
and then area = l*h/2 = l*[l*sqrt(3)/2]/2 =l2*sqrt(3)/4
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35.074 units2
It is double the length of the base, in square units.
The altitude formula is like this: Area x 2 divided by the base ( Ax2:b) The area formula is base x height divided by 2
If an equilateral triangle and a square have equal perimeters, then the ratio of the area of the triangle to the area of the square is 1:3.
Perimeter of equilateral triangle: 24 units Area of equilateral triangle: 27.713 square units rounded to three decimal places