Step-by-step explanation:

2a , 2a , 2a

let hight be H

Sides of the right angle triangle formed will be

2a = Hypotenuse

a= base

H = Hight

H^2 + a^2 = (2a)^2

H^2 = 4a^2 - a^2

H^2 = 3a^2

H = a √3

Answer:

height of an equilateral triangle having side 2a is a

Step-by-step explanation:

in triangle abc

draw a perpendicular ad on base bc

now,

in right angled triangle abd

(ab)^2=(bd)^2+(ad)^2

(2a)^2=(a)^2+(ad)^2

2a^2=a^2+(ad)^2

2a^2-a^2=(ad)^2

a^2=(ad)^2

a=ad

therefore ad=a

hope it's help u!!!!