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AD is an altitude of an isosceles triangles ABC in which AB = AC show (1)AD bisects BC (2)AD binsects angle A

Posted by Aarushi Mehan 8 years, 7 months ago

CBSE > Class 09 > Mathematics

1 answers

Adeel Khan 8 years, 7 months ago

In ∆ABD and ∆ACD, AB=AC (given), AD=AD (common), angle ADB = angle ADC (since AD is an altitude), Therefore by SAS congruence rule ∆ADB congruence to ∆ACD. AB=AC (by CPCT), angle BAD = angle CAD (by CPCT)

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