On the screen, we see two triangles ABC and A1B1C1 in blue color. [br]Length of sides, angles and area of these two triangles are written. We know that two triangles are similar if their three angles are same, even if lengths of their sides are different. We can freely move the four points A, B, A1 and B1 . Let us observe how the area of these triangles changes when we move these four points and change the angles of these similar triangles using their corresponding slide bars.
Question to think about.[br]1. Find the ratio of the corresponding sides of the similar triangles in three different cases [br]2. Complete the table and find out the relation between the square of the sides and area of the triangles?[br]3. Write down your observation
1. AB/A[sub]1[/sub]B[sub]1 [/sub]= BC/B[sub]1[/sub]C[sub]1[/sub]= AC/A[sub]1[/sub]C[sub]1[/sub]=[br][br][br]2..SL NO (AB/A[sub]1[/sub]B1 ) BC/ B[sub]1[/sub]C[sub]1 [/sub]AC/A[sub]1[/sub]C[sub]1[/sub] AREA OF ABC/AREA OF A[sub]1[/sub]B[sub]1[/sub]C1[br][br](i)[br][br](ii)[br][br][br](iii)[br][br][br]3. [br][br][br][br][br]