AD is an altitude of an isosceles triangle ABC in which AB=AC show that 1) AD bisects BC 2) AD bisects angle A
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Step-by-step explanation:ABC is a isosceles triangle.
AD is perpendicular on BC.
AB=BC
To prove:-
In Triangle ACD AND ABD,
AD=AD (Common)
AC=AB (Given)
∠ ADC=∠ADB (90 degree each)
Δ ACD= ΔABD (By SAS)
Therefore,AD bisects BC AS WELL ∠A . (By CPCT)
HENCE,PROVED.
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