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7.1 Pythagorean Theorem

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The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. This relationship was known to ancient cultures like the Babylonians and Egyptians, even though it is named after Pythagoras. The theorem allows us to calculate an unknown side of a right triangle if the other two sides are known, with the hypotenuse always being labeled as c.

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The Pythagorean Theorem The student is able to (I can): Use the Pythagorean Theorem to solve problems.
The Pythagorean Theorem (a2 + b2 = c2) states the relationship between the sides of a right triangle. Although it was named for Pythagoras (circa 500 B.C.), this relationship was actually known to earlier people, including the Babylonians, Egyptians, and the Chinese. A Babylonian tablet from 1800 B.C. that is presumed to be listing sides of right triangles.
The Pythagorean Theorem allows us to find an unknown side of a right triangle if we know the other two sides. Remember: the hypotenuse is always c. x 12 13
The Pythagorean Theorem allows us to find an unknown side of a right triangle if we know the other two sides. Remember: the hypotenuse is always c. x 12 13 + = 2 2 2 12 13 x
The Pythagorean Theorem allows us to find an unknown side of a right triangle if we know the other two sides. Remember: the hypotenuse is always c. x 12 13 + = 2 2 2 12 13 x + = = = = 2 2 144 169 25 25 5 x x x

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7.1 Pythagorean Theorem

  • 1. The Pythagorean Theorem The student is able to (I can): Use the Pythagorean Theorem to solve problems.
  • 2. The Pythagorean Theorem (a2 + b2 = c2) states the relationship between the sides of a right triangle. Although it was named for Pythagoras (circa 500 B.C.), this relationship was actually known to earlier people, including the Babylonians, Egyptians, and the Chinese. A Babylonian tablet from 1800 B.C. that is presumed to be listing sides of right triangles.
  • 3. The Pythagorean Theorem allows us to find an unknown side of a right triangle if we know the other two sides. Remember: the hypotenuse is always c. x 12 13
  • 4. The Pythagorean Theorem allows us to find an unknown side of a right triangle if we know the other two sides. Remember: the hypotenuse is always c. x 12 13 + = 2 2 2 12 13 x
  • 5. The Pythagorean Theorem allows us to find an unknown side of a right triangle if we know the other two sides. Remember: the hypotenuse is always c. x 12 13 + = 2 2 2 12 13 x + = = = = 2 2 144 169 25 25 5 x x x