Question

Each sides of an equilateral triangle is 6cm . Find the length of its altitude

Answer 1

$\huge\mathbb{SOLUTION:-}$

$\sf\underline{\pink{Given}}$

$\sf\bullet\:Side\:of\: equilateral\triangle=6cm$

• We have to find the Height

• (altitude) of equilateral∆

Now

$\boxed{\sf{Height\:of\: equilateral\triangle=\dfrac{\sqrt{3}}{2}a}}$

$\sf\underline{\red{A.T.Q}}$

$\sf:\implies Height=\dfrac{\sqrt{3}}{\cancel2}\times \cancel{6}\\ \\ \sf:\implies Height=\sqrt{3}\times 3\\ \\ \sf:\implies Height=3\sqrt{3}cm$

$\boxed{\blue{\sf{Height\:of\: equilateral\:\triangle=3\sqrt{3}cm}}}$

Answer 2

Answer:

• The length of its altitude = 3√3

Given

• Each sides of an equilateral triangle = 6cm

To find

• The length of its altitude =?

Step-by-step explanation :

Altitude of equilateral triangle = √3/4(a)

= √3/2(6)

= √3/3

= 3√3

So, the altitude of equilateral triangle = 3√3