prove that the area of an equilateral triangle is equal to root3 by 4 a2. where a is the side of equilateral triangle
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hi there altitude of equilateral triangle = √3/2a
and if we take side of triangle as a then its area =1/2×base×altitude
=1/2×a×(√3/2)a
so area of equilateral triangle =√3/4a^2
if it help you please mark it as branlist ans
and if we take side of triangle as a then its area =1/2×base×altitude
=1/2×a×(√3/2)a
so area of equilateral triangle =√3/4a^2
if it help you please mark it as branlist ans
namandadhich:
hi make correct that puthagoris there will AD^2 NOT AB^2
A^2=(A/2)^2+AD^2
A^2=(A^2/4 )+AD^2
A^2-(A^2/4)=AD^2
now take lcm
(4a^2+-a^2)/4=AD^2
3a^2/4=AD^2
AD=√(3a^2/4)
AD = √3a/2
now i think you understand
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Area of triangle is 1/2 ×base ×height
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