Question

Prove that triangle ABC is an isosceles triangle if median AD bisectsBC

Answer 1

HEY MATE,

GIVEN : IN ΔABC. AD IS MEDIAN BISECT BC SO BD=DC.

TO PROVE = ΔABC IS ISOSCELES.

PROOF = IN Δ ABD AND Δ ADC

AD = AD -{ COMMON }

BD = DC. -{ GIVEN }

ANGLE ADB = ANGLE ADC -{EACH 90°}

THEREFORE, ΔABD =~ ΔADC -{ SAS }

SO, AB = BC -{C. P. C. T}

SO, ΔABC IS ISOSCELES.

I HOPE THIS WILL HELP YOU...

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