Question
In this question
In a triangle ABC , AB>AC , AD is perpendicular to BC , prove that
AB 2 - AC2 = BD 2= CD2
I have done it like this
In triangle ABD
AD2. = AB2 -. BD2. EQUATION 1
In triangle ADC
AD2 =. AC2 - CD2. EQUATION 2
on combining. EQUATION 1 and 2
AD2 = AB2. -. BD 2
AD2 = AC2 - CD2.
AB2 -. AC2 =. BD2 - CD2
hence proved
IS THIS CORRECT