Question

Show that the area of an equilateral triangle, whose side is ‘a’ units is √3/4 a^2 ut^2​

Answer 1

Step-by-step explanation:

if it is a equilateral triangle then median will acts as height

so base will be side of the triangle a

so height will be

height=√(a^2-(a^2/4))=√(3a^2/4)=((√3)/2)*a

so area will be = 1/2* base* height

=1/2*((√3)/2)*a *a

=(√3/4)a^2