peremeter

[ST]

could someone explain this?

St

[ssmiles08]

It is a 30-60-90 triangle so PS = 4 and PQ = 8

SInce it is a equilateral triangle, 8*3 = 24

[ST]

Thank you

[gmat740]

I doubt the solution

In an equilateral triangle :

Altitude or Height = sqrt(3)/2 times of a

where a= side of the equilateral triangle(this can be easily proved with the help of trigonometry)

So 4/sqrt(3) = [sqrt(3)/2]*a

a = 8/3

So perimeter = 3a = 8

Please check again

Thanks

[dumb.doofus]

I doubt the solution

In an equilateral triangle :

Altitude or Height = sqrt(3)/2 times of a

where a= side of the equilateral triangle(this can be easily proved with the help of trigonometry)

So 4/sqrt(3) = [sqrt(3)/2]*a

a = 8/3

So perimeter = 3a = 8

Please check again

Thanks

Bold statement above .. incorrectly written.. its 4root(3) and not 4/root(3)

[gmat740]

Oh!
Silly Mistake!