In an equilateral triangle ABC, if AD perpendicular to BC, then prove that 3AB*2=4AD*2
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onlinewithmahesh:
Hi
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In equilateral triangle ABC, AB=BC=CA
since,AD is perpendicular drawn on side BC,
BD=DC=(1/2)×BC
NOW,in ∆ABC, angle ADC =90°
SO,
CA^2=AD^2+DC^2
4(DC^2) =AD^2+DC^2(since,CA=BC)
AD^2=3DC^2
hence,proved
since,AD is perpendicular drawn on side BC,
BD=DC=(1/2)×BC
NOW,in ∆ABC, angle ADC =90°
SO,
CA^2=AD^2+DC^2
4(DC^2) =AD^2+DC^2(since,CA=BC)
AD^2=3DC^2
hence,proved
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