All about right triangles

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Presentation transcript:

All about right triangles Unit 8 - Trigonometry All about right triangles

Notes pages 1–2

L E G hypotenuse LEG c2 c2 b2 a2

a2 + b2 = c2 a2 + b2 = c2 c x2 + 42 = 92 202 + 302 = x2 x2 + 16 = 81 –16 –16 1300 = x2 = 65 c 36.1 = x x2 x = 8.1

a2 + b2 = c2 a2 + b2 = c2 c x2 + 42 = 92 202 + 302 = x2 x2 + 16 = 81 –16 –16 1300 = x2 c 36.1 = x x2 = 65 x = 8.1 a2 + b2 = c2 x2 + 52 = 82 x2 + 25 = 64 a2 + b2 = c2 –25 –25 92 + 112 = x2 x2 = 39 c 202 = x2 x = 6.2 14.2 = x

whole numbers a2 + b2 = c2

__2 + __2 = __2 7 9 11 __2 + __2 = __2 6 8 10 130 = 121 ? NO 100 = 100 ? YES = 4.8 2.8 = 24 __2 + __2 = __2 5 7 5.3 = 36 = 36 ? 24 + 25 = 49 ______2 + ______2 = ___2 (2 2 ) (2 7) 6 YES 49 = 49 ? YES 8 + 28 = 36

(↔,↕) T S RS = __2 + __2 2 2 = ____ 8 R a2 + b2 = c2 __2 + __2 = __2 8 32 40 TR = __2 + __2 4 4 = ____ 32 __ + __ = __ 8 32 40 ∆RST is a right triangle ST = 40 6 __2 + __2 2 = ____ 40 40 =

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