Question

three times the square of any side of equilateral triangle is equal to four times the square of an altitude​

Answer 1

Step-by-step explanation:

In equilateral triangle,

(s/2)^2

+ h^2

= s^2

and angle between s/2 and S

is 60°

so h/s = (√3/2) or sin 60

or h =s*(√3/2)

squaring both sides we get

h2=S2*3/4

or 4 h sq = 3 s sq

PROVED