1. By: Robert Ulloa/ Josue Apodaca
Pythagorean Theorem
By: Robert Ulloa/ Josue Apodaca

2. How to format Pythagorean Theorem
In algebraic terms, a² + b² = c² where c is the hypotenuse while a and b are the legs of the triangle.

3. How Do I Use it? a2 + b2 = c2 52 + 122 = c2 25 + 144 = 169 c2 = 169
                           
a2 + b2 = c2
= c2
= 169
c2 = 169
c = √169
c = 13
a2 + b2 = c2
92 + b2 = 152
81 + b2 = 225
Take 81 from both sides
b2 = 144
b = √144
b = 12
                           

4. Example #1
This problem could also be solved using the Pythagorean Triple 3, 4, 5.  Since 6 is 2 times 3, and 8 is 2 times 4, then x must be 2 times Answer: 10 m

5. Example #2
A ramp was constructed to load a truck.  If the ramp is 9 feet long and the horizontal distance from the bottom of the ramp to the truck is 7 feet, what is the vertical height of the ramp?

6. Example#3 A triangle has sides 6, 7 and 10. Is it a right triangle?
Let a = 6, b = 7 and c = 10.  The longest side MUST be the hypotenuse, so c = 10.  Now, check to see if the Pythagorean Theorem is true

7. Example#4
How far up a wall will an 11m ladder reach, if the foot of the ladder must be 4m from the base of the wall?
112 = x2 + 42
121 = x2 + 16
= x2                   
105 = x2           
10.2 = x               
The ladder will reach 10.2 meters up the wall.

8. By: Robert Ulloa, Josue Apodaca
THE END
Jj kf