Verified answer

Answer:

√3/4 a

Step-by-step explanation:

given : √3/4( side) ^2

Find : The area of a equilateral triangle

solutions : sides of equilateral triangle an equal.

AB=BC=CA= a ( draw AO as altitude)

None, altitude of ∆ ABC by Pythagoras theorem .

a^2 = h^2 + ( a/2)^2 = h^2=a^2-a/4

h=√3/2 a

area of ∆=1/2×b×h=1/2×a×√3/2 o = √3/4 a

hence, proved...

Answer:

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