Unformatted text preview: United States and one in Germany. The American student thinks that the lengths 3, 4, and 5 in Example 1.5 are measured in inches, while the German student thinks that they are measured in centimeters. Since 1 in ≈ 2.54 cm, the students are using triangles o± di±±erent physical sizes (see Figure 1.2.1 below, not drawn to scale). A B C 3 4 5 (a) Inches A ′ B ′ C ′ 3 4 5 (b) Centimeters A A ′ B B ′ C C ′ (c) Similar triangles Figure 1.2.1 △ ABC ∼ △ A ′ B ′ C ′ I± the American triangle is △ ABC and the German triangle is △ A ′ B ′ C ′ , then we see ±rom Figure 1.2.1 that △ ABC is similar to △ A ′ B ′ C ′ , and hence the corresponding angles...
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 Fall '11
 Dr.Cheun
 Calculus, Trigonometry, Angles, Law Of Cosines, Hypotenuse

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