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Discovering Right Triangles and Solving a Mystery

Explore the fascinating world of right triangles! Learn about their legs, the hypotenuse, and how to apply the Pythagorean theorem to solve for unknown lengths. This engaging lesson also mixes in an interactive mystery where you must solve for three crucial elements: who stole something at the party, what was stolen, and its current location. Use the provided codes to crack the mystery while reinforcing your understanding of right triangles and mathematical concepts. Perfect for students and math enthusiasts!

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Discovering Right Triangles and Solving a Mystery

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Presentation Transcript

  1. 63 65 53 85 45 16 84 28 13

  2. What did you come up with ? Legs of a right triangle – The legs of the triangle that form the right angle. Hypotenuse – longest side of a right triangle

  3. Are these right triangles? 15, 4, 23 7, 14, √245 5,13, 12 9,8,145 7,24,25 9,8,10 9,7, √130

  4. Ticket out the door

  5. Pythagorean theorem Leg2 + leg2 = hypotenuse2 a2 + b2 = c2

  6. Which is the odd one out?

  7. So we can solve for legs as well …

  8. Solve the mystery • Some one stole something at your party. • You have to figure out 3 things: • Who stole it? • What they stole? • Where is it now?

  9. Crack the code • A = 17 • B = √6 • C =25 • D = √24 • E =15 • F =63 • G = √58 • H =1 • I =24 • J = √ 8 • K =34 • L =10 • M = √63 • N =11 • O = √13 • P =12 • Q =9 • R = √61 • S = √8 • T =16 • U =8 • V = √240 • W =13 • X =12 • Y =19 • Z = √12

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