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From step #11 to step #12, how are we able to substitute in c in place of (f+e)? Proof of the Pythagorean Theorem Given: Triangle ABC is a right Triangle, and CD is an altitude Prove: a + b2 = c² b B Statement Reason 1.Triangle ABC is a right Triangle, and 1. CD is an altitude 2. MLBDC = 90 2. MLADC = 90 3. m < A = m < A 3. 4. m

From step #11 to step #12, how are we able to substitute in c in place of (f+e)? Proof of the Pythagorean Theorem Given: Triangle ABC is a right Triangle, and CD is an altitude Prove: a + b2 = c² b B Statement Reason 1.Triangle ABC is a right Triangle, and 1. CD is an altitude 2. MLBDC = 90 2. MLADC = 90 3. m < A = m < A 3. 4. m

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.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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From step #11 to step #12, how are we able to substitute in c in place of (f+e)? Proof of the Pythagorean Theorem Given: Triangle ABC is a right Triangle, and CD is an altitude Prove: a? + b2 = c2 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 <А 3. 4. m < B = m< B 4. 5. т < АСB — т<CDB3D т< ADC 5. 6. AACB~ACDB~AADC 6. a 7. == c b'c e 7. 8. b2 = cf , a? = ce 8. Cross multiplication 9. a? + b? = cf + a? 9. 10. a? + b² = cf + ce 10. 11. a? + b2 = c(f +e) 11. 12. 12.a*+b =c -c 13. 13.a +b? =c?
Transcribed Image Text:From step #11 to step #12, how are we able to substitute in c in place of (f+e)? Proof of the Pythagorean Theorem Given: Triangle ABC is a right Triangle, and CD is an altitude Prove: a? + b2 = c2 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 <А 3. 4. m < B = m< B 4. 5. т < АСB — т<CDB3D т< ADC 5. 6. AACB~ACDB~AADC 6. a 7. == c b'c e 7. 8. b2 = cf , a? = ce 8. Cross multiplication 9. a? + b? = cf + a? 9. 10. a? + b² = cf + ce 10. 11. a? + b2 = c(f +e) 11. 12. 12.a*+b =c -c 13. 13.a +b? =c?
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