(The Pythagorean Theorem)

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Presentation transcript:

(The Pythagorean Theorem) Chapter 8 Section 2 (The Pythagorean Theorem) Officially… In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs. 2 2 2 c c = + a a b b b

Unofficially… (Leg 1) + (Leg 2) = Hypotenuse Hypotenuse Leg 1 Leg 2 2 Unofficially… 2 2 2 (Leg 1) + (Leg 2) = Hypotenuse Hypotenuse Leg 1 Leg 2

Example #1 6 4 a

Example #2 a 3 2

Example #3 a a 4

Example #4 5 a – 1 a

Example #5 5 x 8 11

Example #6 The perimeter of a rhombus is 68 cm and one diagonal is 16 cm. How long is the other diagonal?

Example #7 The dimensions of a rectangular box are 12, 4, & 3. Make a sketch and find the diagonal of the box. 3 A 4 B 12

Chapter 8 Section 2 (The Pythagorean Theorem) Chapter 8 Section 2 (The Pythagorean Theorem) Show the equations that you are solving. Homework Section 8.2 Written Exercises (p. 292-294) #2-38 (evens)