Question

an
1.) Find the height of equilateral
triangle having side 2a.​

Answer 1

Answer:

root3a

Step-by-step explanation:

Let the triangle be ABC

AB=2a

BC=2a

AC=2a

Now construct a perpendicular bisecting BC

Name this as AD

BD=a and CD=a

In triangle ADB

AB^2=AD^2+BD^2

(2a)^2=AD^2+(a)^2

4a^2-a^2=AD^2

AD^2=3a^2

AD= root3a