[size=150]Can you determine if a triangle is a right angled triangle or not when given the lengths of all its three sides, and without constructing the triangle?[br][/size][size=150][br]In this activity you will use the "converse" reasoning process. Pythagoras Theorem states that in a right angled triangle, the square of the length of the longest side is equal to the sum of squares of the lengths of remaining two shorter sides.[br][br]Conversely, that is to say, if the square of the length of the longest side in a triangle is equal to the sum of squares of the lengths of the remaining two sides, then the triangle has to be a right angled triangle. [br][b][color=#0000ff]It is so because only right angled triangles have this property or rule.[br][/color][/b][/size][size=150][b][color=#0000ff][br][/color][/b]Practice until you get 4 questions consecutively correct to be sure you have mastered this reasoning process. [/size]