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Given the proof below, what is the reason for #2 Proof of the Pythagorean Theorem Given: Triangle ABC is a right Triangle, and CD is an altitude Prove: a + b? = c? A D B Statement Reason 1.Triangle ABC is a right Triangle, and 1. CD is an altitude 2. MLBDC = 90 MLADC = 90 2. %3D %3D

Given the proof below, what is the reason for #2 Proof of the Pythagorean Theorem Given: Triangle ABC is a right Triangle, and CD is an altitude Prove: a + b? = c? A D B Statement Reason 1.Triangle ABC is a right Triangle, and 1. CD is an altitude 2. MLBDC = 90 MLADC = 90 2. %3D %3D

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.4: Relationships: Perpendicular Lines
Problem 30E
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Given the proof below, what is the reason for #2 Proof of the Pythagorean Theorem Given: Triangle ABC is a right Triangle, and CD is an altitude Prove: a? + b? = c? a b B f Statement Reason 1.Triangle ABC is a right Triangle, and 1. CD is an altitude 2. MLBDC = 90 2. MLADC = 90 3. т <A %3D т<A 3. 4. т <В 3D т <B 4. 5. т < АCB 3D т<CDB %3D т< ADC 5. 6. AACB~ACDB~AADC 6. 7. 7. eb'e a = S. b? = cf , a² = ce S. Cross multiplication 9. a? + b? = cf + a? 9. 10. a? + b² = cf + ce 10. 11. a? + b² = c(f + e) 11. 12. a* +b = c-c 12. 13. 13.a+b? =c?
Transcribed Image Text:Given the proof below, what is the reason for #2 Proof of the Pythagorean Theorem Given: Triangle ABC is a right Triangle, and CD is an altitude Prove: a? + b? = c? a b B f Statement Reason 1.Triangle ABC is a right Triangle, and 1. CD is an altitude 2. MLBDC = 90 2. MLADC = 90 3. т <A %3D т<A 3. 4. т <В 3D т <B 4. 5. т < АCB 3D т<CDB %3D т< ADC 5. 6. AACB~ACDB~AADC 6. 7. 7. eb'e a = S. b? = cf , a² = ce S. Cross multiplication 9. a? + b? = cf + a? 9. 10. a? + b² = cf + ce 10. 11. a? + b² = c(f + e) 11. 12. a* +b = c-c 12. 13. 13.a+b? =c?
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