Question

The perimeter of an equilateral triangle is 6. The length of the altitude of the triangle is .....,select a proper option (a), (b), (c) or (d) from given options so that the statement becomes correct.
(a) √3/2
(b) 2/√3
(c) 2
(d) √3

Answer 1

Hi ,

Let the side of an equilateral triangle = a

perimeter = 6

3a = 6

a = 6/3

a = 2

altitude of the triangle = h

h = ( √3/2 ) × a

h = ( √3 × 2 )/2

h = √3

Therefore ,

Altitude ( h ) = √3

Option ( d ) is correct.

I hope this helps you.

: )

Answer 2

Given that the perimeter of an Equilateral triangle = 6.

We know that there are three sides in an equilateral sides,

Each side s = (6/3) = 2 cm.

Now,

The length of the altitude of the triangle l = $\frac{\sqrt{3}}{2} * s$

$= > \frac{\sqrt{3}}{2} * 2$

$= > \sqrt{3}$

Therefore, the length of altitude of the triangle = $\sqrt{3}$

Hope this helps!