Transcript Warm-up: Solve for x and classify the triangle.

Warm-up: Solve for x and classify
the triangle.
(5x + 2) 
(6x + 5) 
(4x + 8)
(4x + 8)
(9x + 7) 
(9 – x)
How long must each side of the drawbridge be
so that the bridge spans the river when both
sides come down?
Can you form a triangle using any three
lengths??
Investigate:
Instructions:
• Get a straw and a ruler
• Pick a number 1-8
• Cut the straw the length of the number you chose. (in
inches)
• Please throw the extra away so you don’t get confused.
• Now find 2 other people and try to make a triangle with
your straw. Record the combinations. Some
combinations will work, others won’t. You need to fill up
the entire graph with no repetitions of the same
combination.
• When you are finished please throw the straw away, put
the ruler back, and have a seat. We will discuss when
everyone finishes and try to fill in the Triangle Sum
Conjecture.
Triangle Inequality Conjecture
The sum of the lengths of any two sides of a triangle is __________
the length of the third side.
Ex 1: Which of the following segments
could form a triangle?
A. 6, 8, 10
B. 3, 3, 3
C. 2, 3, 5
D. 8, 2, 9
E. 10, 3, 4
F. 1, 1, 2
EX 2: Find the range of possible side
lengths for the third side of the triangle.
1. 6 and 11
2. 17 and 22
3. 78 and 111
Ex 3: Ordering Triangle Side Lengths and Angle
Measures
Write the angles in order from
smallest to largest.
Ex 4: Ordering Triangle Side Lengths and
Angle Measures
Write the sides
in order from
shortest to
longest.
EX 5: Solve for x.
120
x
EX 6: Solve for x.
(x + 9)
120
(2x – 3)
EX 7:Find the missing angles.
82
65 
46
1
3
2
4
142
5
m1 
m3 
m2 
m4 
m5 