Question

what is the length of altitude of an equilateral triangle whose side is a​

Answer 1

Answer:

Incomplete Question Mate. EDIT IT

-_-

Answer 2

Answer:

a√3/2

Step-by-step explanation:

In an equilateral triangle, 3 sides are equal.

Let the triangle be ABC.

Therefore, AB=BC=CA=a

We know that an altitude will bisect the opposite side in an equilateral triangle.

Let the altitude be AD. ∴AD⊥BC and AD bisects BC

=> BD=AB/2=a/2

Now, use pythagoras theorem.

AB^2= BD^2 + AD^2

a^2= (a/2)^2 + AD^2

a^2 - (a^2/4)=AD^2

3a^2/4=AD^2

AD= (a√3)/2

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