The Pythagorean Theorem : Created by G. Antidormi 2003 The Pythagorean Theorem
What is the Pythagorean Theorem used for? : Created by G. Antidormi 2003 What is the Pythagorean Theorem used for? to find the length of a missing side in a right triangle 5 4 n
Pythagorean Theorem Formula : Created by G. Antidormi 2003 Pythagorean Theorem Formula a2 + b2 = c2 c represents the hypotenuse a and b represent the legs
Slide 4 : Created by G. Antidormi 2003 hypotenuse leg leg a b c
Important bits of information : Created by G. Antidormi 2003 Important bits of information The Pythagorean Theorem can only be used on a right triangle.
The legs are always the sides adjacent (next to) the 90 degree angle.
It does not matter which leg is a and which leg is b.
c is always the hypotenuse (the slant)
Slide 6 : Created by G. Antidormi 2003 What is the length of the hypotenuse in the triangle below? 2 4 h a2 + b2 = c2
Plug in the value for each variable in the formula. : Created by G. Antidormi 2003 Plug in the value for each variable in the formula.
Slide 8 : Created by G. Antidormi 2003 What is the length of the hypotenuse in the triangle below? 2 4 h a2 + b2 = c2 22 + 42 = h2 4 + 16 = h2 20 = h2
Slide 9 : Created by G. Antidormi 2003 What is the length of the hypotenuse in the triangle below? 2 4 h a2 + b2 = c2 22 + 42 = h2 4 + 16 = h2 20 = h2 20 = h 4.47 ~ ~ h
Slide 10 : Created by G. Antidormi 2003 Try this one . . . Find the hypotenuse of the right triangle below? 6 4 h
Slide 11 : Created by G. Antidormi 2003 Find the hypotenuse of the right triangle below? 6 4 h a2 + b2 = c2 42 + 62 = h2 16 + 36 = h2 52 = h2 52 = h 7.21 = h
Slide 12 : Created by G. Antidormi 2003 What is the length of the missing leg in the triangle below? 3 x 5 a2 + b2 = c2 Try this one . . .
Slide 13 : Created by G. Antidormi 2003 Find the hypotenuse of the right triangle below? 5 3 x a2 + b2 = c2 32 + x2 = 52 9 + x2 = 25 x2 = 16 16 x= x = 4 -9 - 9