Prove that AABC is isosceles
if altitude AD bisects ZBAC.
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Prove that AABC is isosceles
if altitude AD bisects ZBAC.
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we have drawn an triangle ABC and AD is
the altitude)
Given: A triangle ABC in which BD DC
to prove : AB AC or ABC is an isosceles
triangle.
Proof:
In triangle ABD and triangle ADC
AD AD ( common)
LADB = LADC (90° each)
BD DC (given)
so A ABD = AACD( by RHS)
So AB AC (by cpct)
A ABC is an isosceles triangle.