Please help asap!

The altitude of an equilateral triangle is 7 square root 3 units long. The length of one side of the triangle is ____ units.

Question

Please help asap!

The altitude of an equilateral triangle is 7 square root 3 units long. The length of one side of the triangle is ____ units.

anonymous · Answer

The answer will have to be 14 units long.  Care for an explanation why?

ttop0816 · Answer

yes please!

anonymous · Answer

Since we are talking about an equilateral triangle here, all angles will have to be 60°, agreed?

ttop0816 · Answer

yes

anonymous · Answer

Okay, the altitude divides our equilateral triangle in half splitting our triangle into two 30-60-90 degree triangles.  With me so far?  Thanks for the medal, by the way.  ^.^

ttop0816 · Answer

yes! & no problem (:

anonymous · Answer

Alrighty!  According to the rule for all 30-60-90 degree triangles, the opposite sides to these angles will be in a ratio of x-x√3-2x, respectively.

anonymous · Answer

Since the given altitude is 7√3 and is opposite to the side of the 60° angle.  Now we do 7√3=x√3. . .  and what is the value of x?

anonymous · Answer

If you need me to explain more into depth, give me a heads up.

ttop0816 · Answer

no its fine i think i got it now! thanks for the help! (:

anonymous · Answer

No problem.  Glad to help.  XD