11-2 The Pythagorean Theorem

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• 11-2 The Pythagorean Theorem

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• Hypotenuse the side opposite the right angle, in
  a right triangle.
• Leg each of the sides forming the right angle of
  a triangle.

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• Pythagorean Theorem describes the relationship
  of the lengths of the sides of a right triangle.

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• Ex 1 Using the Pythagorean Theorem

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• Ex 2 Problem Solving
• A fire truck parks beside a building such that
  the base of the ladder is 16 ft from the
  building. The fire trucks ladder is 10 ft off
  the ground. If the fire truck extends its ladder
  30 ft, how high is the top of the ladder above
  the ground?

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• Conditional An if-then statement.
• Hypothesis The if part of a conditional
  statement.

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• Conclusion The part following then in a
  conditional statement.
• Converse A statement that switches the
  hypothesis and conclusion of a conditional
  statement.

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If a triangle has sides of lengths a, b, and c,
and a² b² c², then the triangle is a right
triangle with hypotenuse of length c.
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• Ex 3 Using the Converse of the Pythagorean
  Theorem
• Determine whether the given length can be sides
  of a right triangle.

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• Ex 3 Using the Converse of the Pythagorean
  Theorem
• Determine whether the given length can be sides
  of a right triangle.

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CW 11-2 WB pg 147, 1-20 all HW 11-2 WB pg
147, 21-43 all
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