Material Taken From: Mathematics for the international student Mathematical Studies SL Mal Coad, Glen Whiffen, John Owen, Robert Haese, Sandra Haese and Mark Bruce Haese and Haese Publications, 2004

Chapter 4 The Rule of Pythagoras Tuesday Sept 7th– Section A Thursday Sept 9th– Sections BC Monday Sept 13th– Section DE Wednesday Sept 15th– Section F Friday Sept 17 th – Review Tuesday Sept 21st– Chapter 4 Test

2001 Academy Award Winning Movie Category– Best Math Documentary under 11 minutes about Pythagoras.

Section A – The Rule of Pythagoras Right Triangles: One of its angles must be a right angle (90°). The side opposite of the right angle is called the hypotenuse. The other sides of the triangle are called the legs. All Triangles: The sum of the three angles equals 180°.

Section A – The Rule of Pythagoras Pythagorean Theorem c a b In Right Triangles: s.

Pythagorean Theorem

The Pythagorean Theorem is useful because:

Converse of the Pythagorean Theorem If a triangle has sides of length a, b, and c units and a 2 + b 2 = c 2, then the triangle is right angled and its hypotenuse is c units long Is this triangle a right triangle? Prove to me your answer.

Find x, leave your answer in radical form.

Find x, round your answer to two decimal places.

Find x. x cm

Find x, leave your answer in simplified radical form.

Find x, leave your answer in radical form.

Some Tiny Trig In Right Triangles: sin θ = opposite side ÷ hypotenuse cosθ= adjacent side ÷ hypotenuse tan θ = opposite side ÷ adjacent side θ = 30° 15 ? ? θ = Greek Letter Theta = Represents Angle

Some Tiny Trig θ = 30° 15 ? ?