Easiest as Expected Solid Geometry!!!

Geometry Level pending

The area of an equilateral triangle is equal to its perimeter. Find the length of its side.


The answer is 6.928203230275509.

Melo Zapanta by melo zapanta , 25, USA

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2 solutions

Puzzle Seeker
May 17, 2014

Area of an equilateral triangle = 3 / 4 \sqrt{3} /4 × a 2 \times a^{2} = Perimeter of the triangle = 3a. Solving for side length 'a', we get a = 4 3 \sqrt{3} = 6.928203230275509.

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Melo Zapanta
Apr 5, 2014

Area= 1/2xh Perimiter= 3x 1/2xh=3x so we need to find the value of h; since the triangle is equilateral then; sin60=h/x therefore; h=xsin60 so 1/2x(xsin60)=3x so solve for x; x=6.928203230275509

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