Question

Given an equilateral triangle t1 with side 24 cm, a second triangle t2 is formed by joining the midpoints of the sides of t1. Then a third triangle t3 is formed by joining the midpoints of the sides of t2. If this process of forming triangles is continued, the sum of the areas, in sq cm, of infinitely many such triangles t1, t2, t3,... Will be

Answer 1

Step-by-step explanation:

any equilateral triangle formed by joining the midpoints of the sides of another equilateral triangle will have its side equal to have the side- equal to half the side of second equilateral triangle. T2 - 24cm, T2- 12 cm, T3- 6 cm of the sides. This is geometric progression will common ratio 1:4 or 1/4.