Equilateral triangle is a triangle in which all its sides are equal.
Given: side = 10 cm
Area of an equilateral triangle = √3/4 a²
1st: a = 10 ; A = 43.3 cm² 2nd: a = 5 ; A = 10.83 cm² 3rd: a = 2.5 ; A = 2.71 cm² 4th: a = 1.25 ; A = 0.68 cm² 5th: a = 0.625 ; A = 0.17 cm² 6th: a = 0.3125; A = 0.042 cm² 7th: a = 0.15625; A = 0.011.cm²
Summation: a1/1 -r ; a1 = 43.30 ; r = 0.25
43.30 / 1 - 0.25 = 43.30/0.75 = 57.73 cm²
The sum of the areas of the triangles if the process is continued without end is 57.73 cm²
