3. complete the proof of the pythagorean theorem. given: is a right triangle, with a right angle at . prove:statement reason 1. is a right triangle, with a right angle at . 1. given 2. draw an altitude from point c to . 2. from a point not on a line, exactly one perpendicular can be drawn through the point to the line. 3. and are right angles. 3. definition of altitude 4. 4. all right angles are congruent. 5. 5. 6. 6. aa similarity postulate 7. 7. 8. 8. 9. 9. 10. 10. 11. 11. aa similarity postulate 12. = 12. 13. 13. 14. 14. 15. 15. distributive property 16. 16. 17. 17.