Fill in the blanks for a proof of Triangle Inequality Theorem. If two sides of a triangle are not congruent, then the larger angle lies opposite the longer side. Given: ATOY with YO > YT Prove: ?>? Mark P on YO so that YPYT. Draw TP. 3 4 T Y Prove: a. > b. Statements Reasons 1. YPYT 1. Rule Postulate 2. m/1=m/2 2. 3. MOTY = m/4+m/2 3. 4. mZOTY>m/2 4. 5. MZOTY>m/1 5. 6. m≤1>m/3 7. 6. > 7.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section3.1: Law Of Sines
Problem 4ECP: Show that there is no triangle for which a=4 feet, b=14 feet, and A=60.
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Fill in the blanks for a proof of Triangle Inequality Theorem. If two sides of a
triangle are not congruent, then the larger angle lies opposite the longer side.
Given: ATOY with YO > YT
Prove: ?>?
Mark P on YO so that YPYT. Draw TP.
3
4
T
Y
Prove: a.
> b.
Statements
Reasons
1. YPYT
1.
Rule Postulate
2. m/1=m/2
2.
3. MOTY = m/4+m/2
3.
4. mZOTY>m/2
4.
5. MZOTY>m/1
5.
6. m≤1>m/3
7.
6.
>
7.
Transcribed Image Text:Fill in the blanks for a proof of Triangle Inequality Theorem. If two sides of a triangle are not congruent, then the larger angle lies opposite the longer side. Given: ATOY with YO > YT Prove: ?>? Mark P on YO so that YPYT. Draw TP. 3 4 T Y Prove: a. > b. Statements Reasons 1. YPYT 1. Rule Postulate 2. m/1=m/2 2. 3. MOTY = m/4+m/2 3. 4. mZOTY>m/2 4. 5. MZOTY>m/1 5. 6. m≤1>m/3 7. 6. > 7.
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