In an isosceles triangle, prove that the altitude from the vertex bisects the base.
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let us take a triangle ABC and draw an altitude CD
being an isosceles triangle
in ΔACD and ΔCDB
CD=CD (common )
CA=CB ( equal opposite sides)
∠ A=∠ B ( angle opposite to opposite sides are also equal )
therefore : ΔACD and ΔCDB are congruent by ASA rule
so , AD=DB by CPCT
So, its true
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