WILL GIVE BRAINLIEST IF CORRECT ANSWER!!! The triangle below is equilateral. Find the length of side x in simplest radical form with a rational denominator.

Answer : 2√3

Given :-

To Find :-

As we know that in a equilateral triangle , perpendicular bisector , angle bisector and median coincide with each other .

Now we may use Pythagoras theorem as ,

→ AB² = BC² + AC²

→ 4² = 2² + x²

→ 16 = 4 + x²

→ x² = 16-4

→ x² = 12

→ x =√12 = √{ 3 * 2²}

→ x = 2√3

Hence the required answer is 2√3 .

I hope this helps.

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

central angle of a triangle has the same measure as its intercepted arc.

step-by-step explanation: