Question

Find the height of quilatoral traingel having side 2a​

Answer 1

Answer:

A= √3/4a^2

= √3a^2

I think it will be helpful to you.

Thank you

Answer 2

Answer:

Height of the equilateral triangle = $\sf{\sqrt{3}a}$

Step-by-step explanation:

Given :

Side of the equilateral triangle = 2a

Base = 2a

(All the sides of the equilateral triangle is same . So , base is 2a)

To find :

The height of the equilateral triangle

Concept :

First find the area of the equilateral triangle . And after that find the height of the equilateral triangle .

$\therefore{\sf{To\:find\:the\:area\:of\:the\:equilateral\:triangle}}$$\sf{use\:this\:formula}$

$\triangle = \sf{ \dfrac{ \sqrt{3} }{4} {a}^{2}}$

Where,

a² = side of equilateral triangle

After that to find the height of the equilateral triangle use the formula to find the area of the triangle .

$\sf{A=\dfrac{h\:\times\:b}{2}}$

Where,

A = Area of the equilateral triangle

h = Height

b = Base

Solution :

Area of the equilateral triangle -:

$\triangle = {\sf{ \dfrac{ \sqrt{3} }{4} {(2a)}^{2} }}$

$\triangle = {\sf{ \dfrac{ \sqrt{3} \times { \cancel{4}a}^{2} }{ \cancel{4} }}}$

$\triangle = {\sf{ \sqrt{3} {a}^{2} }}$

Height of the equilateral triangle -:

$\leadsto \ {\sf{ \sqrt{3} {a}^{2} = \dfrac{AD \times \cancel{2}a}{ \cancel{2} }}}$

$\leadsto{ \sf{ \sqrt{3} a = AD}}$

So , the height of the equilateral triangle is $\sf{\sqrt{3}a}$ .