· Identify a right-angled triangle and its hypotenuse.
· Define the Pythagoras’ theorem and understand its symbols.
· Find the unknown side of a right-angled triangle when the other two sides are given.
· Solve problems involving right-angled triangles with Pythagoras’ theorem.
· Determining whether a triangle is right-angled given the lengths of 3 sides.
Who is Pythagoras?
Pythagoras (569-500 B.C.E.) was born on the island of Samos in Greece, and did much traveling through Egypt, learning, among other things, mathematics. Not much more is known of his early years. Pythagoras gained his famous status by founding a group, the Brotherhood of Pythagoreans, which was devoted to the study of mathematics. The group was almost cult-like in that it had symbols, rituals and prayers. In addition, Pythagoras believed that "Number rules the universe,"and the Pythagoreans gave numerical values to many objects and ideas. These numerical values, in turn, were endowed with mystical and spiritual qualities.
What's Pythagoras Theorem?
What’s the Hypotenuse?
What are the other two sides?
OK, so now we know which side is which, what use is it?
Watch the video for examples on the application of Pythagoras Theorem