Summary We prove the next generalization of the Steiner-Lehmus theorem: if two equal cevians intersect with each other on the angle bisector of the third triangle vertex, then the triangle is ...

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, ...

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 ...

In maths, a construction is an accurate drawing. Besides constructing triangles, there are two main constructions which can be done using a ruler, a pair of compasses and a pencil: After the ...

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

We have covered the important topics of Quantitative Aptitude Section such as Arithmetic and Algebra. But, now it’s time that we move ahead and learn the concepts of Geometry. It is expected that ...