You can put this solution on YOUR website! an equilateral triangle with a perimeter
of 27 cm will have 3 sides = 9cm.
A line drawn from the midpoint of the
triangles base up to the highest apex
will construct a right angled triangle
of base = 4.5 cm and hypotenuse = 9 cm
The vertical side^2 = hypotenuse^2 - base^2
Vertical side^2 = 9^2 - 4.5^2
Vertical side^2 = 81 - 20.25
Vertical side =
Vertical side = 7.8 cm
Area of equilateral = 1/2(base * height)
Area of equilateral = 1/2(9 * 7.8)
Area = 35.1 cm^2
Hope this helps.
:-)
