PYTHAGORAS THEOREM Year 8 Equilateral Right Angled Scalene

PYTHAGORAS THEOREM Year 8

Equilateral Right Angled Scalene les Obtuse sce Iso TYPES OF TRIANGLES

Hy What are some things we know about right angled triangles? po Perp endi cula r RIGHT ANGLE TRIANGLES Base ten us e

HYPOTENUSE

PYTHAGOREAN PUZZLE

USING YOUR CALCULATOR

LEFT RIGHT ? 3 cm 4 cm ? 5 cm 12 cm 4 x 3 + 5

Answers on the next page

5 cm 3 cm Do the RIGHT students recognise anything? 4 cm

FIND THE AREA OF EACH SQUARE Can we think of a formula that will explain what is going on?

PYTHAGORAS THEOREM So the numbers 3, 4 and 5 create a Pythagorean Triad as they satisfy the equation above (Pythagoras Theorem). Are they the only three numbers that will work? Hint: LEFT students

SO WHO WAS PYTHAGORAS? Pythagoras of Samos (580– 496 BC ) was a mathematician, astronomer and philosopher.

SO WHO WAS PYTHAGORAS? He is best remembered for his theorem relating to right-angled triangles, although it is now known that some ancient societies knew of theorem before Pythagoras was even born. It is said that Pythagoras discovered his theorem by looking at the pattern of square floor tiles. Many of Pythagoras’ findings are said to have come from his students, however, Pythagoras took the credit!

DO NOT FORGET! Pythagoras Theorem will only work when we have a…?

PYTHAGOREAN TRIAD

KEY IDEAS