The height of an equilateral triangle is 4√3. what is the perimeter of the equilateral triangle?
a) 12 units
b) 12√3 units
c) 24 units
d) 24√3 units

= 24 units

Therefore; using the Pythagoras theorem;

S² = (S/2)² + h²; where h is the height of the equilateral triangle

S² =S²/4 + (4√3)²

S² = S²/4 + 48 ;   Multiplying everywhere by 4; we get

4 S² = S² + (48×4)

3 S² =  192

S² =  64

S = 8

but, perimeter of an equilateral triangle is side × 3

Perimeter= 8 × 3

                = 24 units

the answer is c.

step-by-step explanation: