Ch 9.1 The Pythagorean Theorem Definition of the Day Right Triangle Legs of a Triangle Hypotenuse of a Triangle The Pythagorean Theorem.

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Presentation transcript:

Ch 9.1 The Pythagorean Theorem Definition of the Day Right Triangle Legs of a Triangle Hypotenuse of a Triangle The Pythagorean Theorem

Right Triangle: A triangle with one right angle. Picture: Right Triangle Hypotenuse: Longest side Opposite The right Angle Leg Right Angle

The Pythagorean Theorem Given a Right Triangle… a b c

Example 1 : A right triangle has legs of lengths 9 cm and 12 cm. What is the length of the hypotenuse? 9 cm 12 cm ? By the Pythagorean Theorem..

Example 2 : A fire truck parks 16ft away from a building to rescue a climber stuck on the ledge. The fire truck extends its 30ft ladder toward the building. How far up the building did the climber get? 16 ft 30 ft ? By the Pythagorean Theorem..

The Converse of the Pythagorean Theorem a b c If: Then: The triangle is a Right Triangle. C is the Hypotenuse

Your Turn! Use the triangle to find the length of the missing side. a b c 1. a = 6, b = 8,c = ? 2. a = 8, b = 24,c = ? 3. a = ?, b = 7,c = Is a = 4, b = 8,c =10

Sentence Frames 1. I know the hypotenuse is the _____________ side of the triangle because it is____________ the right angle. 2. In the Pythagorean Theorem_________, the “c” represents the________ of the right triangle.