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 ...

Save guides, add subjects and pick up where you left off with your BBC account. A line which cuts an angle into two equal side angles is called an angle bisector. In geometry a construction is an ...

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 six intersection points of a triangle’s non-parallel altitudes and perpendicular bisectors are the vertices of two congruent minor periambic triangles which are inversely similar to the original.

The secret to getting ahead is getting started. In the triangle above, segment BD is an angle bisector. Sides AB = 9x − 14, ...