In the diagram below, AB is the chord of a circle with centre O. OM is perpendicular to AB (meet at a right angle). Look at triangles OAM and OBM. The hypotenuses (OA and OB) are the same, as they are ...

They form a partially hinged dissection. Objects MA.304723.755, MA.304723.760, and MA.304723.804 form model 6TQ (angle bisectors of a triangle). A drawing for this model, dated April 23, 1932, is in ...

The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional ...

The Mathematical Gazette is the original journal of the Mathematical Association and it is now over a century old. Its readership is a mixture of school teachers, college and university lecturers, ...

The secret to getting ahead is getting started. In the triangle above, segment BD is an angle bisector. Sides AB = 9x − 14, BC = 4x − 3, CD = 2x + 11 and AD = 5x + 2. Find the area of triangle ABD and ...

Description This model of a part of a hinged dissection consists of two triangles hinged at a common vertex. Objects MA.304723.755, MA.304723.760, and MA.304723.804 form model 6TQ (angle bisectors of ...