Fun with circle | English
Channel: Arvind Gupta
Date: 08/04/2016

After drawing the circle and diameter mark a point outside circle. First we join the point to the two end of diameter. And now complete the two triangles in the half circle or semicircle. What this means that both these triangles are right angles since they are triangles in a semicircle.
 
This is the basis of this activity. And now if we join these two points with a line, we complete the large triangle with a line this line is perpendicular to the original line as we wanted. Wonderful. Let’s see how.
 
AXB and AYB are right triangles as they are triangles in a semicircle
So altitudes BX and BY of triangle APN meet at B which is called the orthocenter. So the third altitude AZ will also pass through B. And so PN is perpendicular to AZ.
 
 
Hope you enjoyed this activity where we use two properties. First those triangles in semicircle are right triangles and all three altitudes of a triangle meet at same point

This work is supported by IUCAA (www.iucaa.in) and TATA Trust (www.tata.com/aboutus/sub_index/Tata-trusts)

Credits:,Ashok Rupner, Manish Jain, Pradnya Pujari, Shivaji Mane, Jyoti Hiremath, Arvind Gupta, Vidula Mhaiskar TATA Trust: Education is one of the key focus areas for Tata Trusts, aiming towards enabling access of quality education to the underprivileged population in India. To facilitate quality in teaching and learning of Science education through workshops, capacity building and resource creation, Tata Trusts have been supporting Muktangan Vigyan Shodhika (MVS), IUCAA's Children’s Science Centre, since inception. To know more about other initiatives of Tata Trusts, please visit www.tatatrusts.org