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Notice altitude drawn from A.

A. B. C. This is altitude. Notice altitude drawn from A. H. A. C. B. H. A. A. H. H. B. C. What do you notice when this altitude is drawn?. A. C. B. H. A. A. H. H. B. C. We have 2. Right Triangles. new. A. C. A. H. C.

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Notice altitude drawn from A.

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  1. A B C This is altitude . Notice altitude drawn from A. H

  2. A C B H A A H H B C What do you notice when this altitude is drawn?

  3. A C B H A A H H B C We have 2 Right Triangles new

  4. A C A H C Not only are the 2 triangles right triangles but they are both similar right triangles. A B m BAC= m AHC= 90° m ACB= m HCA  ∆ ACB~ ∆ HCA AA Similarity Theorem

  5. A = = C A H B Not only are the 2 triangles right triangles but they are both similar right triangles. A B m BAC= m BHA= 90° m ABC= m ABH  ∆ ABC~ ∆ HBA AA Similarity Theorem

  6. A C B H Theorem 21 states that an altitude drawn from the right angle of a right triangle forms 2 more right triangles similar to the first. QUESTION: Are ALL right triangles similar to each other?

  7. QUESTION: Are ALL right triangles similar to each other? ANSWER: No because their acute angles are not necessarily the same.

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