AD is an altitude of an isosceles triangle ABC in which AB =AC show that
(I)AD bisects BC (II) AD bisects angle A.
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Step-by-step explanation:
triangle BAD and CAD
AB=AC (given)
angle B = angle C
angle ADB= angle ADC( 90)
so triangle BAD congruent to CAD
(i) BD = CD (CPCT) so AD is a bisector of BC
(ii) angle BAD = angle CAD(CPCT) so AD bisects angle A.
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