is an isosceles country in which AB=AC. Side BA is produced to D such that AD=AB (see figure). Show that
is a right angle.
Solution:
AB=AC (Given)
It means that
(In triangle, angles opposite to equal sides are equal)
Let
(1)
AC=AD (Given)
It means that
(In triangle, angles opposite to equal sides are equal)
Let
(2)
In
, we have
(Angle sum property of triangle)
Putting (1) and (2) in the above equation, we get
Therefore,
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