Pythagorean Theorem By Mrs Muller Why the Pythagorean
Pythagorean Theorem By Mrs. Muller
Why the Pythagorean Theorem � You can solve for a missing side of a right triangle. � You can tell if something is a right triangle. � You can make sure an angle is 90 degrees.
What is the formula � a 2+b 2=c 2 � The a and b represent the legs of the right triangle (it does not matter which one is which) � The C represents the hypotenuse and has to be where the hypotenuse is. � The hypotenuse is a cross from the 90 degree angle and is the longest side.
Solving For a Missing Side (Hypotenuse Side) First label the sides of the triangles with the a, b, and c � Then take the 4 equation a 2+b 2=c 2 3 and substitute the values that are next to the given sides: b=4, a=3, and c=c � 32+42=c 2, then use PEMDAS to simplify the equation before solving. � 9+16=c 2, 25=c 2, then solve for the variable � 25 = c 2 Square root both sides; c=5 �
Solving For a Missing Side (A Leg Side) First label the sides of the triangle with a, b, and c 10 � Then take the equation a 2+b 2=c 2 6 and substitute the values that are next to the given sides: a= 6, b=b, c=10 � 62+b 2=102, then use PEMDAS to simplify the equation before solving. � 36+b 2=100, then solve for the variable � 36+b 2 -36=100 -36, b 2+0=64, b 2 = 64 , b=8 �
To tell if it is a Right Triangle When given the values: a=9, b=12, c=15, just substitute the values given for each variable into the equation. � a 2+b 2=c 2 92+122=152 (substitute the values in) 81+144=225 225=225 (Simplify by following PEMDAS) � Since they are equal to each other at the end it is a right triangle, and that also means that one of the angles is 90 degrees � If the equation proves false in the end then that means that it is not a right triangle and none of the angles can be 90 degrees. �
- Slides: 6