Special Right Triangles Help Needed

Well I am new here but I am really stuck on one of my problems that I was assigned to for HW.

It is..

The length of an altitude of an equilateral triangle is 12 feet. Find the length of a side of the triangle.

I kinda get the concept but this one just blows my mind.

Re: Special Right Triangles Help Needed

Try solving

Re: Special Right Triangles Help Needed

Hello, GeometryBeginner!

Welcome aboard!

Quote:

The length of an altitude of an equilateral triangle is 12 feet.

Find the length of a side of the triangle.

Did you make a sketch?

Code:

` *`

/|\

/ | \

x / | \ x

/ | \

/ |12 \

/ | \

/ | \

* - - - + - - - *

: x/2 : x/2 :

See the right triangle?

Pythagorus says: .

Now solve for

You should get: .

Re: Special Right Triangles Help Needed

A trigonometric approach: