Download presentation
Presentation is loading. Please wait.
Published byRobert Banks Modified over 9 years ago
1
The Pythagorean Theorem x z y
3
For this proof we must draw ANY right Triangle: Label the Legs “a” and “b” and the hypotenuse “c” a b c
4
The Pythagorean Theorem Copy the triangle three more times and build a square with each triangle at a corner a b c
5
The Pythagorean Theorem Copy the labels to the corresponding sides a b c a a a b b b c c c
6
The Pythagorean Theorem a b c a a a b b b c c c The Area of the big square can be found by multiplying the lengths of the sides (a + b)(a + b)
7
The Pythagorean Theorem a b c a a a b b b c c c
8
a b c a a b b c c c
10
a b c
11
Example 1 For this example we will be given both legs and will be trying to find the hypotenuse 10 x 6
12
Example 1 Setup the equation using the Pythagorean Theorem: (Small leg) 2 + (Large leg) 2 = hypotenuse 2 10 x 6
13
Example 1
14
Example 2 For this example we will be given a leg and the hypotenuse and will be trying to find the other leg 9 x 4
15
Example 2 9 x 4 Setup the equation using the Pythagorean Theorem: (Small leg) 2 + (Large leg) 2 = hypotenuse 2 4 2 + x 2 = 9 2
16
Example 2
Similar presentations
© 2024 SlidePlayer.com Inc.
All rights reserved.