Step-by-step explanation: We have been provided that, Triangle ABC is an Equilateral triangle. Side of triangle is = 10 cm The arcs are drawn from each vertices of the triangle. We get three sectors intersecting at D, E and F on the sides BC, CA and AB respectively. Now, AB = BC = CD = 10 cm. The area of sector AEF = Area of sector BDF = Area of sector CDE So, Area of sector AEF is given by, Therefore, the area of the all the shaded region that is the area of all the sectors is given by, Now, Area of Equilateral triangle is, Therefore, the area of the remaining portion is, Remaining area = Area of triangle ABC - Area of all the sectors 39.25cm square