Converse of Pythagoras Theorem : Self Assessment
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?
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.
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.
It is so because only right angled triangles have this property or rule.
Practice until you get 4 questions consecutively correct to be sure you have mastered this reasoning process.