please answer as soon as possible
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I can understand what is that I am sorry
Answered by
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Step-by-step explanation:
Given:
A ∆ ABC, in which sides are AB=BC= AC= a units
and AD is perpendicular to BC ,
In ∆ADB ,
AB²= AD²+ BD² (by Pythagoras theorem)
a² = AD² + (a/2)² [BD= 1/2BC, since in an equilateral triangle altitude AD is perpendicular bisector of BC ]
a²- a²/4 =AD²
=( 4a²-a²)/4 = AD²
= 3a² /4 = AD²
3AB²/4= AD²
[ AB= a]
3AB²= 4AD²
So, the first option is correct.
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