With the angle being fixed, the equality ofvalue of each trigonometrical ratio ismaintained regardless of size of triangle.

By recognizing and understandingpatterns, we can make logical deductionsand justify our conclusion.

Trigonometrical ratios depict therelationship amongst the sides andangles of a triangle.

Proof: The sum of the areas of the two squares on thelegs (a and b) equals the area of the square on thehypotenuse.

Proof

The equality of the equation representative ofPythagoras' Theorem, does not changeregardless of the size of the triangle.

Pythagoras' Theorem is a relationship of the sizeof a rightangled triangle.

Pythagoras' Theorem is a geometricrepresentation of an algebraic relation.

Pythagoras' Theorem can berepresented geometrically and be usedto solve problems involving2dimensional and 3dimensionalmodels, to solve real life problems

The converse of Pythagoras' Theoremfacilitates testing if a triangle is a rightangledtriangle.