Question

AD and BE are respectively the altitudes of triangle ABC with AB=AC. Prove that AE=BD

Answer 1

as the teo sides of triangle are equal i.e. AB and AC
so the perpendicular (altitude) will bisect AB and AC
therefore
$ab = ac$
dividing both sides by 2
$\frac{ab}{2} = \frac{ac}{ 2}$
so AE=BD
HENCE PROVED

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