the vertex of the triangle to be equilateral

**rcs** · January 7th 2013, 06:41 AM

A triangle has two vertices at ( -a, 0 ) and (a , 0 ). What must be the third vertex of the triangle to be equilateral?

Need your help guys.

Thanks

**Plato** · January 7th 2013, 06:54 AM

Originally Posted by rcs

A triangle has two vertices at ( -a, 0 ) and (a , 0 ). What must be the third vertex of the triangle to be equilateral?

The third vertex will be $(0,b)$ where the distance $\mathcal{D}[(0.b);(a,0)]=2|a|$

**skeeter** · January 7th 2013, 07:07 AM

Originally Posted by rcs

A triangle has two vertices at ( -a, 0 ) and (a , 0 ). What must be the third vertex of the triangle to be equilateral?

... note that half an equilateral triangle is a 30-60-90 special right triangle.

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