MathDB

2

Part of 2010 NZMOC Camp Selection Problems

Problems(2)

square inscribed in sector of a circle (2010 NZOMC Camp Sel. J2)

Source:

1/3/2021
ABAB is a chord of length 66 in a circle of radius 55 and centre OO. A square is inscribed in the sector OABOAB with two vertices on the circumference and two sides parallel to AB AB. Find the area of the square.
geometrysquarechord
pentagon has 4 triangles of same area (2010 NZOMC Camp Sel. S2)

Source:

1/4/2021
In a convex pentagon ABCDEABCDE the areas of the triangles ABC,ABD,ACDABC, ABD, ACD and ADEADE are all equal to the same value x. What is the area of the triangle BCEBCE?
geometryarea of a triangleequal areapentagon