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Labelling Triangles

Learn how to label triangles using hypotenuse, opposite, and adjacent sides. Use Pythagorean Theorem to find missing sides. Calculate ratios and understand trigonometric functions.

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Labelling Triangles

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  1. Labelling Triangles - the labels of 2 of the sides of a triangle depend on the angle used - the hypotenuse is always in the same place (opposite the right angle) - the other 2 sides are the opposite side (opposite the angle used) and the adjacent side (adjacent the angle used)

  2. x Label each triangle hypotenuse opposite adjacent

  3. x Label each triangle Opposite (O) Adjacent (A) Hypotenuse (H)

  4. x Label each triangle A O H

  5. Use Pythagorean Theorem to find the missing side x = 9.43398 5 8

  6. Use Pythagorean Theorem to find the missing side x = 18.86796 10 16

  7. small large O H x = 18.86796 10 x = 9.43398 5 ø 8 16 For both the small and large triangle find the ratio of 5 9.43 10 18.87 = 0.53 = 0.53

  8. small large A H x = 18.86796 10 x = 9.43398 5 ø 8 16 For both the small and large triangle find the ratio of 8 9.43 16 18.87 = 0.848 = 0.848

  9. small large O A x = 18.86796 10 x = 9.43398 5 ø 8 16 For both the small and large triangle find the ratio of 5 8 10 16 = 0.625 = 0.625

  10. opposite hypotenuse The ratio of the is called the sine adjacent hypotenuse The ratio of the is called the cosine opposite adjacent The ratio of the is called the tangent For any given angle in a right triangle the ratios of the lengths of their sides is a constant and is known.

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