A rhombus has four 6-inch sides and two 120-degree angles. From one of the vertices of the obtuse angles, the two altitudes are drawn, dividing the rhombus into three pieces. Find the areas of these pieces
So the acute angles of the rhombus is 60-degree. Now if you draw the
altitudes from the obtuse angle vertex to the opposite side, one gets a right angle triangle with hypotenuse 6-inch, and the angle opposite to the hypotenuse of the triangle is 60-degree. Similarly on the other vertex with the obtuse angle. So the three regions are a rectangle formed in the middle, and two right angle triangle with hypotenuse 6 inch and angle 60-degree.
The area of the triangles is