AD is an altitude of an isosceles triangle ABC in which AB=AC.show that AD bisects angle A.
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Answer:
ABC is isosceles triangle AB=AC
AD is altitude angle ADB angle ADC=90°
To prove,
AD bisect BC
AD bisect angle .A
proof,
angle ADB angle ADC
angle ADB is equal to angle ADC
AD is equals to AC
AD is equals to AD.
by RHS congruency
angle ADB and angle ADC.
by C.P.C.T.
BD is equal to CD.
angle BAC angle CAD.
hence proof.
Step-by-step explanation:
hope it helps you
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