Respuesta :
Answer:
16.64645cm²
Step-by-step explanation:
All of the angles are equal: A = B = C = 180/3 = 60°.
All of the sides are equal: a = b = c.
h = 5 cm, sin60 = h/a = 5/a, a = 5/sin60 = 5.77 cm.
Area = 1/2bh = 1/2 x 5.77 x 5.77 = 33.2929/2 = 16.64645cm²
Answer:
Area = 16.669 cm^2
Step-by-step explanation:
An EQUILATERAL TRIANGLE has all it's sides and angles the same.
Sum of angles of a triangle = 180°
Each angle = 180°/3
= 60°
A= B = C = Angles
a = b = c = lengths of sides = unknown
The apothem is given as 5.
We'll call it h.
h = 5
From Trigonometry; SohCahToa
Sin 60° = opposite / Hypotenuse
sin 60° = h/b
0.866° = 5/b
b = 5/0.866°
b = 5.774 cm
Let's solve for AREA.
AREA = 1/2 * Base * Height
A = 1/2 * 5.774 * 5.774
A = 1/2 * 33.339
A = 16.669 cm ^2
Please find the attached file
Math is fun
