Congruent Triangles SSS Rule | Gujarati
Channel: Arvind Gupta
Date: 2015-04-10

If the three sides of one triangle are equal to the three sides of another triangle than both these triangles are congruent according to the side-side-side rule. This can be easily proved with the help of folding paper. Fold a rectangle into half. The fold line will be PQ. Mark a point C on fold line PQ. Open the paper so that the midline is on top. Fold a crease on the left side and mark this fold with a pen. Call this line AB. Fold the paper again on its midline PQ and mark the points A and B on the bottom layer with the help of a divider point. Fold CA, crease well. Similarly fold CB, crease well. Mark lines CA and CB with pen to make triangle ABC. 
Open the paper and mark the divider points as A’ and B’. Angle C will be equal to its angle on the right side. Fold paper along A’B’ and cut off the extra piece of paper. Fold A’C and also cut along A’C. Similarly crease B’C and cut this crease with a knife. The right triangle CA’B’ will now be just attached at point C. Now, superimpose right side triangle CA’B on left hand triangle CAB and you will see that all the sides are equal and match. This proves that triangles CA’B and CAB are congruent (side-side-side rule). This work was supported by IUCAA and Tata Trust. This film was made by Ashok Rupner 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