Thread: Triangle

Where does the square root 3 come from. I get the height to s^2 = H^2 + (s/2)^2 ==>

H = s/2 ==> A = B * H (B = s ) so (S*S)/(2 * 2) ==> A = s^2 / 4 ,,,where do i
get the square root 3.


Thank you for your help

Being able to see the triangle would be nice...

All sides are equal,,they are all s

Then use Heron's formula

Heron's formula - Wikipedia, the free encyclopedia

I just want to know where the square root 3 comes from in the formula,, the formula is for calculating the Area of a trinagle where all sides are the same lenght.

Originally Posted by Makron

I just want to know where the square root 3 comes from in the formula,, the formula is for calculating the Area of a trinagle where all sides are the same lenght.

remember the relationships betwen the sides of a 30-60-90 triangle?

Originally Posted by Makron

Where does the square root 3 come from. I get the height to s^2 = H^2 + (s/2)^2 ==>

H = s/2 ==> A = B * H (B = s ) so (S*S)/(2 * 2) ==> A = s^2 / 4 ,,,where do i

get the square root 3.

Thank you for your help

Check your calculation.

s^2 = H^2 + (s/2)^2 ==> H^2 = s^2 - s^2/4 = ......?

Originally Posted by Makron

I just want to know where the square root 3 comes from in the formula,, the formula is for calculating the Area of a trinagle where all sides are the same lenght.

Of course, if you'd bothered to do as suggested, and make use of Heron's Formula, the appearance of is obvious...