G.5 Triangle Inequalities (Lesson 2 ­ real world problems).notebook
November 10, 2016
Ahmed, Bob and Ciara are playing catch before a baseball game. As they pass the ball around, Ahmed catches the ball from Ciara, then turns 60* to pass it to Bob. Bob then turns 50* to pass the ball to Ciara. Finally, Ciara catches and turns 70* and throws the ball back to Ahmed. Which players are furthest apart?
Homework Review. p.329­330, #9, 10, 15, 19, 27, 34, 35
G.5 Triangle Inequalities (Lesson 2 ­ real world problems).notebook
November 10, 2016
G.5 Part II - Application of Triangle Inequality Rules
Learning Target - by the end of class I will be able to use the
triangle inequality rules in real world situations, and will do this
by completing a set of 10 application problems, corrected to
100%, before completing a 4-question exit ticket with at least 3
correct.
SOL - G.5
Homework - Complete class worksheet (if necessary)
Any two sides of a triangle must add up to more than the third side.
L
!
6"
2"
N
3"
M
G.5 Triangle Inequalities (Lesson 2 ­ real world problems).notebook
November 10, 2016
Given what we know about triangles, if I know the length of two
sides, there is a range of possible values that will work for the
third side.
6"
x
?
3"
Longest side is always directly opposite the biggest angle.
Smallest angle is always opposite the shortest side.
30
6"
4"
50
100
3"
G.5 Triangle Inequalities (Lesson 2 ­ real world problems).notebook
November 10, 2016
G.5 Triangle Inequalities (Lesson 2 ­ real world problems).notebook
November 10, 2016
G.5 Triangle Inequalities (Lesson 2 ­ real world problems).notebook
November 10, 2016
G.5 Triangle Inequalities (Lesson 2 ­ real world problems).notebook
November 10, 2016
G.5 Triangle Inequalities (Lesson 2 ­ real world problems).notebook
November 10, 2016
Cameron is flying a triangular cross‐country route in his mighty C‐152 airplane. He knows it is 10 miles to his first checkpoint and another 20 miles to the second one, from which he’ll fly straight back to the airport. He has enough fuel to fly 55 miles. Will he definitely make it home, maybe make it, or definitely crash on the way home due to lack of fuel? Draw a picture to help solve. Explain your answer.
G.5 Triangle Inequalities (Lesson 2 ­ real world problems).notebook
November 10, 2016
G.5 Part II - Application of Triangle Inequality Rules
Learning Target - by the end of class I will be able to use the
triangle inequality rules in real world situations, and will do this
by completing a set of 10 application problems, corrected to
100%, before completing a 4-question exit ticket with at least 3
correct.
SOL - G.5
Homework - Complete class worksheet (if necessary)
Exit Ticket:
1. Do the following lengths make a triangle: 2. Triangle ABC has segments of length
AB=12, BC=10, AC=15. Which angle in the triangle is the biggest?
14, 21, 7
3. If Washington and Richmond are 200 miles apart, and Newport News and Richmond are 60 miles apart, what are the possible distances between Washington and Newport News (assume the 3 cities make a triangle)?
4. Which side is the longest?
T
60
I
3x­2
2x+7
R