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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
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
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,