Over the sides of an equilateral triangle with area 1 are triangles with the opposite angle 60ā to each side drawn outside of the triangle. The new corners are P, Q and R. (and the new triangles APB, BQC and ARC)
1)What is the highest possible area of the triangle PQR?
2)What is the highest possible area of the triangle whose vertexes are the midpoints of the inscribed circles of the triangles APB, BQC and ARC? geometrygeometry unsolved