Show that the angles of an equilateral triangle are
each.
Solution:
is equilateral which means that AB=BC=AC.
AB=AC means that
(In triangle, angles opposite to equal sides are equal) (1)
AB=BC means that
(In triangle, angles opposite to equal sides are equal) (2)
From (1) and (2), we can say that
(3)
Also,
(Angle sum property of triangle)
Putting (3) in the above equation, we get
(4)
From (3) and (4), we can say that
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