express area of equilateral triangle as function of one side s???

express area of equilateral triangle as function of one side s???

Re: express area of equilateral triangle as function of one side s???

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**sluggerbroth** express area of equilateral triangle as function of one side s???

Use Heron's formula where S is the semiperimeter, so , and .

Re: express area of equilateral triangle as function of one side s???

Let h = height of triangle. Then h=s*sin60 So area= 1/2*s*s*sin60=1/2*s^2*sin60 Sin60=root3/2 so area = root3*s^2/4

Can get the height by 'splitting' triangle in two and using Pythagoras, if you prefer.

Re: express area of equilateral triangle as function of one side s???