How to solve it

The Pythagorean Theorem is a mathematical equation between the sides of a right triangle.

The Pythagorean Theorem can be written as one simple equation

                             c²=a²+b²             remember                      

                                                              c is the hypotenuse

                                                              a and b are the other sides

    use algebra to find the missing values

 first take the equation and place the numbers you know in place of the variables                      

                           lets say a=5 and b=3 plug it in and you get c2=52+32

square all numbers                         c²=5²+3²

                                                        c=25+9

add or subtract 

                                                         c=34

then you take the square root of the number and that's your hypotenuse 

                                                      34 = 5.8





      

                         


 

Example: Solve this triangle.

right angled triangle

 

a2 + b2 = c2

52 + 122 = c2

25 + 144 = c2

169 = c2

c2 = 169

c = √169

c = 13

 

Example: Solve this triangle.

right angled triangle

 

a2 + b2 = c2

92 + b2 = 152

81 + b2 = 225

Take 81 from both sides:

b2 = 144

b = √144

b = 12

http://www.mathsisfun.com/pythagoras.html

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