Answer:
A = 27.7
Step-by-step explanation:
Knowing that an equilateral triangle has 3 equal side lengths, we can create our area and perimeter equations! x will be one of the side lengths
- A = (1/2)(b*h)
- all angles are 60
- Using angles: sin(60) = [tex]\frac{\sqrt{3} }{2} = \frac{opp}{adj} = \frac{h}{a}[/tex]
- A = [tex]a^{2} \frac{\sqrt{3} }{4}[/tex]
P = 3x = 24
x = 8
A = [tex]8^{2} \frac{\sqrt{3} }{4}[/tex]
A = 27.7
