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Cell phone use is prohibited. Students: Today is a red light day. Cell phone use is prohibited. This is your warning.

1 , 4 , 9 , 16 , 25 , 36 , 49 , 64 , 81 , 100 , … Simplify the following radicals. 1) 2) 3) 4) 5)

13.02 The Pythagorean Theorem

The Pythagorean Theorem states: c a b We can use the Pythagorean Theorem to find a missing side of a right triangle. The Pythagorean Theorem states: The square of the hypotenuse is equal to the sum of the squares of the legs. c 2 = a 2 + b 2 or a 2 + b 2 = c 2

c 2 = a 2 + b 2 If a = 6 and b = 8, find c. c2 = 62 + 82 c2 = 36 + 64

a 2 + b 2 = c 2 If a = 8 and c = 17, find b. 82 + b2 = 172

c 2 = a 2 + b 2 If a = 4 and b = 6, find c. c2 = 42 + 62 c2 = 16 + 36

A 20 ft. ladder is leaning against a building. If the ladder is 12 ft A 20 ft. ladder is leaning against a building. If the ladder is 12 ft. away from the building, how tall is the building? h2 + 122 = 202 20 h h2 + 144 = 400 h2 = 256 12 h = 16

If AB = 10 , AC = 8 , CD = 15, find the perimeter of Δ ABD. 17 10 8 B 6 C 15 D If AB = 10 , AC = 8 , CD = 15, find the perimeter of Δ ABD. (BC)2 + 82 = 102 (AD)2 = 82 + 152 (BC)2 + 64 = 100 (AD)2 = 64 + 225 (BC)2 = 36 (AD)2 = 289 BC = 6 AD = 17 Perimeter of Δ ABD = 10 + 6 + 15 + 17 = 48