Envied by the popularity of Pythagoras his disciple claimed a different relation between the sides of right angle triangles. By observing this what do you notice?

What is the name given the largest side of a right angled triangle ?

Name each of the following triangles in two different ways: ( you may judge the nature of the angle by observation)(f)

Name each of the following triangles in two different ways: ( you may judge the nature of the angle by observation)(e)

What do you observe? Justify that the point that divides each median in the ratio 2 : 1 is the centriod of a triangle.

If one of the sides and any other part (either an acute angle or any side) of a right angle triangle is known, the remaining sides and angles of the triangle can be determined. Do you agree? Explain with an example.

The Class X students of a secondary school in Krishinagar have been alloted a rectangular plot of land for their gardening activity . Sapling of Gul mohar is planted on the boundary at a disatnce of 1m from each other . There is a triangular grassy lawn in the plot as shown in the figure . The students are to sow seeds of flowering plants on the remaining area of the plot . (i) Taking A as origin , find the coordinates of the vertices of the triangle . (ii) What will be the coordinates of the vertices of Delta PQR if C is the origin Also calculate the areas of the triangles i these cases . What do you observe ?

Show that the relation R defined in the set A of all polygons as R = {(P _(1), P _(2)): P _(1) and P _(2) have same number of sides}, is an equivalence relation. What is the set of all elements in A related to the right angle triangle T with sides 3,4 and 5 ?

As light is transmitted through a parallel sided glass slab, what relation holds good between the angle of incidence and angle of emergence?

Show that the relation R defined in the set A of all triangles as R={(T _(1), T _(2))):T _(1) is similar to T _(2) } is equivalence relation. Consider three right angle triangles T_(1) with sides 3,4,5,T_(2) with sides 5,12,13 and T_(3) with sides 6,8,10. Which triangles among T_(1), T_(2) and T_(3) are related ?