(a) Find the area (in square centimeters) of an equiangular triangle with a perimeter of 22.2 cm.(b)Find the area (in square inches) of an equiangular triangle with a radius of length 6 in.

Question

(a) Find the area (in square centimeters) of an equiangular triangle with a perimeter of 22.2 cm.

 

 

(b)Find the area (in square inches) of an equiangular triangle with a radius of length 6 in.

Answer 1

a) area of an equilateral triangle is s**2 * sqrt(3)/4

s for an equilateral triangle with perimeter 22.2 cm is 22.2/3

b)

equilateral triangle can be divided up into three isosceles triangles, each with vertex angle equal to 120 and sides equal to the radius of 6 inches. The area of each triangle is 1/2 * 6 * 6 * sin (120).