Mind Boggling
Geometry
Level
2
What is area of largest possible equilateral triangle in a rectangle of 30 *40 ???
The answer is 519.615.
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1 solution
It's simple, You can find the length of this equilateral triangle by using trigonometry laws : l/x = sin(60) so x = l/sin(60) where x is the length of the side of the triangle and l is the height of rectangle wich is in this case 30, so x becomes x = 60/sqrt(3) Now we calculate the area using this formula: s = B h/2 s = x l/2 s= 519.61