What is the reason for #3? Given: DE||BC Prove: AD AB DB EC Statement Reason 1. DE||BC 1. 2. mLA = mZĀ 2. 3. MLAED = MLACB 3.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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What is the reason for #3?
Given: DE |BC
Prove: AD
AE
DB
EC
B
Statement
Reason
1. DE||BC
1.
2. mLA = mZĀ
2.
3. MLAED = MLACB
3.
4. ΔACB~ΔΑED
4.
AE
AD
5.
AB EC
5.
%3D
6. AD + DB = AB
6.
AE + EC = AC
AE
7.
AD
7.
AD+DB
AE+EC
8. AD(AE + EC) = AE(AD + DB)
8.
9. AD · AE + AD · EC = AE · AD + AE · DB
9.
10. AD · EC = AE · DB
10.
AD
11.
DB
AE
11.
%3D
ЕС
Transcribed Image Text:What is the reason for #3? Given: DE |BC Prove: AD AE DB EC B Statement Reason 1. DE||BC 1. 2. mLA = mZĀ 2. 3. MLAED = MLACB 3. 4. ΔACB~ΔΑED 4. AE AD 5. AB EC 5. %3D 6. AD + DB = AB 6. AE + EC = AC AE 7. AD 7. AD+DB AE+EC 8. AD(AE + EC) = AE(AD + DB) 8. 9. AD · AE + AD · EC = AE · AD + AE · DB 9. 10. AD · EC = AE · DB 10. AD 11. DB AE 11. %3D ЕС
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