The pythagorean theorem and its converse - Notes.notebook ...
A b c. Use the Pythagorean Theorem and its converse to solve problems. Objectives.
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Transcript of A b c. Use the Pythagorean Theorem and its converse to solve problems. Objectives.
Pythagoras was a Greek philosopher and religious leader.He was responsible for many important developments in math,
astronomy, and
music.
Pythagoras (~560-480 B.C.)
His students formed a secret society called the Pythagoreans.
As well as studying maths, they were a political and religious organisation.
Members could be identified by a five pointed star they wore on their clothes.
The Secret Brotherhood
They had to follow some unusual rules. They were not allowed to wear wool, drink wine or pick up anything they had dropped! Eating beans was also strictly forbidden!
The Secret Brotherhood
Using the Pythagorean Theorem
Find the value of x. Give your answer in simplest radical form.
a2 + b2 = c2 Pythagorean Theorem
22 + 62 = x2 Substitute 2 for a, 6 for b, and x for c.
40 = x2 Simplify.
Find the positive square root.
Simplify the radical.