The area of an equilateral triangle is found using √3/4 (side)2. Find the ratio of the areas of 6th and 8th triangles.
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√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...
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