Lesson 3: Triangle Inequality Theorem (S,+Sa>Sa) In a triangle, the sum of the lengths of any two st is greater than the length of the third side. Answer: No because 5+3> 10 FALSE 1 Answer: Yes Illustrative Example 1: 1.) What if I have three sticks having the following lengths (a measure of) 3cm, Som and 10, can I form a triangle? 5cm stick 3cm stick DE - EF > DF DE + DF - EF 11cm 9cm 6cm EF-DF> DE 9+611 TRUE 9+1126 TRUE 6+11 9 TRUE 10cm stick RO MIMAROPA WS Math 04 5 Note: If the lengths of th sides satisfy the three conditions, then we ca form a triangle look at the illustration 10 2.) What if I have three sticks having the following lengths (a measure of 4cm, 7cm and 11- can I form a triangle? متاهلینمه 11 You may also use this CONCEPT 'In a triangle, the difference of the lengths of any two sides is less than the length of the third side
Lesson 3: Triangle Inequality Theorem (S,+Sa>Sa) In a triangle, the sum of the lengths of any two st is greater than the length of the third side. Answer: No because 5+3> 10 FALSE 1 Answer: Yes Illustrative Example 1: 1.) What if I have three sticks having the following lengths (a measure of) 3cm, Som and 10, can I form a triangle? 5cm stick 3cm stick DE - EF > DF DE + DF - EF 11cm 9cm 6cm EF-DF> DE 9+611 TRUE 9+1126 TRUE 6+11 9 TRUE 10cm stick RO MIMAROPA WS Math 04 5 Note: If the lengths of th sides satisfy the three conditions, then we ca form a triangle look at the illustration 10 2.) What if I have three sticks having the following lengths (a measure of 4cm, 7cm and 11- can I form a triangle? متاهلینمه 11 You may also use this CONCEPT 'In a triangle, the difference of the lengths of any two sides is less than the length of the third side
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.1: Congruent Triangles
Problem 6E: In a right triangle, the sides that form the right angle are the legs; the longest side opposite the...
Related questions
Concept explainers
Quadratic Equation
When it comes to the concept of polynomial equations, quadratic equations can be said to be a special case. What does solving a quadratic equation mean? We will understand the quadratics and their types once we are familiar with the polynomial equations and their types.
Demand and Supply Function
The concept of demand and supply is important for various factors. One of them is studying and evaluating the condition of an economy within a given period of time. The analysis or evaluation of the demand side factors are important for the suppliers to understand the consumer behavior. The evaluation of supply side factors is important for the consumers in order to understand that what kind of combination of goods or what kind of goods and services he or she should consume in order to maximize his utility and minimize the cost. Therefore, in microeconomics both of these concepts are extremely important in order to have an idea that what exactly is going on in the economy.
Question
Can you help me answer this? Thank you! And explain how you get the answer.
Transcribed Image Text:RO MIMAROPAWS Math8 04
Lesson 3:
Trianyle Inequanty Theoreni(S, + S, >S,) In a triangle, the sum of the lengtha of any two side
is greater than the length of the third side.
Note: If the lengths of the
sides satialy the three
conditiona, then we can
form a triangle
DE -
EF > DF
DE + DF > EF
EF - DF > DE
Illtstratte Axamplei:
1.) What if I have three sticks having the following lengths (a measure of) 3cm, Scm and 10,
can I form a tríangle?
10cm stick
Scm stick
3cm stick
Ansuer No
ook at the illtuchotion
boruuse
5+3> 10 FALSE
10
2.) What if I have three sticks having the following lengtha (a measure of) 4cm, 7cm and 1lam,
can I form a triangle?
11cm
9cm
6cm
look ut the strati
Answer. Yes
9+6 > 11 TRUE
9+ 11 >6 TRUE
6+ 11 >9 TRUE
11
You may also use this CONCEPT:
"In a triangle, the dilference of the lengtha of any two sides is leas than the length of the third nide"
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Recommended textbooks for you
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning