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9.3 Altitude-on-Hypotenuse Theorems

9.3 Altitude-on-Hypotenuse Theorems. If an altitude is drawn to the hypotenuse of a right triangle, then it forms similar triangles. x. y. h. The square of the altitude is equal to the product of the two pieces of the hypotenuse. x. h 2 = xy. y. h. Example 1. Given: BD = 6, AB = 9

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9.3 Altitude-on-Hypotenuse Theorems

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  1. 9.3 Altitude-on-Hypotenuse Theorems

  2. If an altitude is drawn to the hypotenuse of a right triangle, then it forms similar triangles. x y h

  3. The square of the altitude is equal to the product of the two pieces of the hypotenuse. x h2=xy y h

  4. Example 1 Given: BD = 6, AB = 9 Find: BC A B C D

  5. Example 2 Given: BC = 16, AB = 4 Find: BD A B C D

  6. Example 3 Given: BD = 9, AB = 3 Find: AC A B C D

  7. Example 4 Given: BC = 12, AB = 4 Find: BD A B C D

  8. Example 5 Given: BD = 2√5, AB = 8 Find: AC A B C D

  9. Homework p. 379 1a, 2a, 3a,d, 4a,b, 5a, 8, 10-13

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