The Pythagorean Theorem

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The Pythagorean Theorem

• a2 b2 c2

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Background information on the Pythagorean Theorem

• one of the earliest theorems known to ancient
  civilizations
• Comes from the great philosopher, Pythagoras

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Cont of Background Information

• most famous mathematical contribution
• Pythagoras founded the Pythagorean School of
  Mathematics in Cortona

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What is the Pythagorean Theorem

• The Pythagorean Theorem is a statement about
  triangles containing a right angle
• The theorem states "The area of the square
  built upon the hypotenuse of a right triangle is
  equal to the sum of the areas of the squares upon
  the remaining sides."

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An Example!

• using this right triangle with sides of 5 and 12
  cm, and a hypotenuse of 13 cm. We can verify that
  the Pythagorean Theorem is true by substituting
  in the values.

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Other uses of the Theorem

• You can use the theorem to verify whether or not
  a triangle is a right triangle.
• You can use it to find the missing measures of
  sides

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Cont. Of Other Uses

• First you Substitute the values into the formula.
  Then find c squared is equal to 400. To find c,
  we take the square root of 400, which is 20. This
  is the value we're looking for, the missing
  measure of the leg.

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Why Use the Pythagorean Theorem?

• If you like math and will continue in doing math
  in the future you will use this theorem in every
  math activity.
• Once you learn it you will be able to apply the
  theorem to many other more difficult math
  problems.

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