PROBLEM OF THE DAY Pythagoras (570-500 B.C.) was one of the world’s most interesting mathematicians. He believed that everything followed a strict pattern.

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Presentation transcript:

PROBLEM OF THE DAY Pythagoras ( B.C.) was one of the world’s most interesting mathematicians. He believed that everything followed a strict pattern and “the essence of all things is numbers.” The Pythagorean Theorem, which states a 2 +b 2 =c 2 where a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, is credited to him.

The lengths of the legs of right triangles are listed or pictured below. Find the length of the hypotenuse of each triangle. 3, 4 3, 4 9, 12 9,

Investigation 3.4 Measuring the Egyptian Way

Is any triangle whose side lengths satisfy the relationship a 2 + b 2 =c 2 a right triangle? Is any triangle whose side lengths satisfy the relationship a 2 + b 2 =c 2 a right triangle? If the side lengths of a triangle do not satisfy the relationship a 2 + b 2 =c 2, does this mean the triangle is not a right triangle? If the side lengths of a triangle do not satisfy the relationship a 2 + b 2 =c 2, does this mean the triangle is not a right triangle?

Problem 3.4 (page 32)

Homework Complete the following as an entrance ticket to add to journal. Follow up question 3. Complete the following as an entrance ticket to add to journal. Follow up question 3. Exercises on P.36 (14-16) and choose a question on p.40 Exercises on P.36 (14-16) and choose a question on p.40