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siven: ALMN; mLL > m2N rove: MN > TM

siven: ALMN; mLL > m2N rove: MN > TM

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Prove that one side is greater than the other side by completing the two column proof below
ACTIVITY 3. PROVING: Direction: Prove that one side is greater than the other side by completing the two-column proof below. Given: ALMN; mLL > mLN L. Prove: MN > LM Proof: Indirect Proof: Assume MN LM Statements Reasons MN 1. = LM or MN LM 1. By assumption MN 2. Considering LM : If MN LM 2.Definition of then 3. Base angles of isosceles As are congruent 3. L - 4. The conclusion that 7. 4. The assumption MN TMis 7. the given that 5. Theorem MN 5. Considering LM MN If LM 7. Then m < m 6. The conclusion that m 6. The assumption is The given that m L>m 7.The assumption that contradicts the known fact that m 7. Therefore, must be > m
Transcribed Image Text:ACTIVITY 3. PROVING: Direction: Prove that one side is greater than the other side by completing the two-column proof below. Given: ALMN; mLL > mLN L. Prove: MN > LM Proof: Indirect Proof: Assume MN LM Statements Reasons MN 1. = LM or MN LM 1. By assumption MN 2. Considering LM : If MN LM 2.Definition of then 3. Base angles of isosceles As are congruent 3. L - 4. The conclusion that 7. 4. The assumption MN TMis 7. the given that 5. Theorem MN 5. Considering LM MN If LM 7. Then m < m 6. The conclusion that m 6. The assumption is The given that m L>m 7.The assumption that contradicts the known fact that m 7. Therefore, must be > m
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