Pythagorean Theorum Xiaoyan Yang 02/28/2015

History of Pythagoras Pythagoras was born c. 570 BCE, in Greece. He was a Greek philosopher, mathematician, and founder of the Pythagorean brotherhood. Pythagoras made influential contributions to philosophy and religion in the late 6th century BCE. He is often revered as a great mathematician,mystic, and scientist and he is best known for the Pythagorean theorem.philosophyreligionmathematicianmysticscientistPythagorean theorem

Learning Objectives: 1.What is a right triangle? 2.How to find the hypotenuse?

The triangle shown above is a right triangle. One angle is a right angle (between a and b), therefore, it is a right triangle. a b c Right Triangle

A hypotenuse is the side opposite of the right angle and is pointed to in the diagram above with the red arrow. Please identify the hypotenuse in the diagram above. Hypotenuse of right triangle a b c

Identify the right triangle Describe What User Will Hear: which one is a right triangle? Choose one from the above three triangles, and explain why you choose this one. A B C

Identify hypotenuse of right triangle a c b Describe What User Will Hear: Which side is the hypotenuse? Please explain Why you choose that side.

Insert Graphic Here a b c Formula:

Use numbers to insert into the formula Example: a = 3 b = 4 c = 5 3*3 + 4*4 = 5*5 a b c

This sandwich is equally divided into two right triangles. The diagonal is the hypotenuse of the two right triangles Real world example

? = 10 You can try it! 6 8 ?

Review "Pythagoras Theorem" and can be written in one short equation: a 2 + b 2 = c 2 C a b