Question

If the area of equilateral triangle is 3 sqrt 3 cm2 then find the height of equilateral triangle

Answer 1

Answer:

3cm

Step-by-step explanation:

Area of an equilateral triangle =3 $\sqrt{3}$ cm

Let the side of the equilateral triangle be acm

⇒   $\frac{\sqrt{3} }{4}$$a^{2}$=3$\sqrt{3}$

​ ⇒ $a^{2}$=12  

⇒a=$\sqrt{4X3}$ =$\sqrt[2]{3}$

​If the side of the triangle is considered as a base

⇒ Area of a triangle= $\frac{1}{2}$ ×base×height.

⇒3 $\sqrt{3}$=$\frac{1}{2}$X$\sqrt[2]{3}$Xh

⇒h=  $\frac{3\sqrt{3} }{\sqrt{3} }$ =3cm

∴ height of the equilateral triangle is 3cm