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TheSeeker
TheSeeker asked in Science & MathematicsMathematics · 10 years ago

please answer Geometry question: write a paragraph proof...?

I need help with the following geometry question: Write a paragraph proof, or use algebra, to explain why each angle of an equiangular triangle measures 60*.

thanks in advance

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  • outoplc
    10 years ago

    Hint: Draw an equilateral triangle. now draw the perpindicular bisector of any 1 angle. You now have two similar triangles by definition then two of the angles are the same. Now draw the same triangle and the perpendicular bisector of any one of the others angles. Same arguement as before thus Angle 1= angle2= angle 3. So each angle is 1/3 the sum of the angles. The sum of the angles in a euclidian triangle is 180 degrees thus each angle is 180/3 or 60 degrees.

    By the way if you don't draw this out your teacher won't give you credit!!!

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