Shailesh Shirali takes you to a wonderful tale of Pythagoren triples one more time.

An octagon is constructed within a square by joining each vertex of the square to the midpoints of the two sides remote from that vertex. Eight line segments are thus drawn within the square, creating an octagon (shown shaded). The following two questions had been posed: (i) Is the octagon regular? (ii) What is the ratio of the area of the octagon to that of the square?

Let your learners figure out the questions and solutions to the worksheet that covers squares, cubes and their roots.

1.   Make a question on square root by using following information.

a.   196 sq ft

You have blown and burst a balloon. Have you ever made a bench out of them? Check this activity from Arvind Gupta and have fun.

In this article, we offer a second proof of the triangle-in-a-triangle theorem, using the principles of similarity geometry. Then, using vectors, we prove a result which is a generalisation of that theorem.

Use GeoGebra to check when will a rectangle have maximum area when it is inscribed in a triangle. 

In this article we examine how to prove a result obtained after careful GeoGebra experimentation. It was featured in the March 2015 issue of At Right Angles, in the ‘Tech Space’ section.

Find the area marked x.

This continues the ‘Proof’ column begun earlier. In this ‘episode’ we study some results from geometry related to the theme of concurrence.

Let your students arrive at the sum of a pentagon's internal angles themselves, by folding paper into a pentagon. 

Watch this simple video to see how it's done.

Here are some related resources on Teachers of India:


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