©G Dear 2009 – Not to be sold/Free to use General Mathematics Preliminary Right Triangles Pythagoras Theorem Stage 6 - Year 11 Press Ctrl-A ©G Dear 2009 – Not to be sold/Free to use

Pythagoras Theorem (1/4) Only applies to Right-Angled Triangles The longest side is called the Hypotenuse. Shorter Sides

Pythagoras Theorem (2/4) c2 = a2 + b2 c2 a2 Youtube Video Press b2

13.1 Pythagoras Theorem (3/4) Finding the Hypotenuse c2 = a2 + b2 c2 = 52 + 122 c2 = 25 + 144 c2 = 169 c2 c = 13 5 a2 12 b2

Pythagoras Theorem (4/4) Finding the Shorter Side c2 = a2 + b2 172 = a2 + 152 289 = a2 + 225 -225 -225 64 = a2 17 c2 a2 a = 8 15 b2