Triangle Inequality Theorem
3,3, 6
Triangle? Why or why not?
No, because 3+3=6
a+b>c
45, 45, ____
What type of triangle
90
right triangle, also isosocles
3x, x, 3x
Perimeter of 42
What do we set = to each other?
What is x?
7x=42
x=6
2x+4, 2x+2, 2x
x=4
What are the side lengths
What's the perimeter
12, 10, 8
30
2x+10=50
What's x
x=20
10, 20, 5
Triangle? Why or why not?
No, because 10+5<20
a+b>c
15, 65, ___
What kind of triangle (by angle)
100
Obtuse
2x+4, 2x+2, 2x
Perimeter of 30
What do we set = to each other?
What is x?
6x+6=30
x=4
3x-3, 3x+1, 10x-30
x=5
What are the side lengths?
What is the perimeter
12, 16, 20
Perimeter: 48
12, 16, 20
2(3x+6)=60
What's x
x=8
30, 30, 30
Triangle? Why or why not? If so, what kind?
Yes, a+b>c
equilateral
44, 66, ____
What type of triangle by angle?
70
acute
5x+2, 11x+3, 8x-3
Perimeter of 98
What do we set = to each other?
What is x?
24x+2=98
x=4
A square with side lengths 2x+3
x=4
What are the side lengths
What's the perimeter
11
44
y=2/3x+5
What are two coordinates (x, y) I can plot?
(0,5)
(3,7) or (-3,3)
15, 15, 25
Triangle? Why or why not? If so, what kind?
Yes, 15+15>25
a+b>c
isosceles
x, 3x, 2x
What type of triangle
6x=180
x=20
20, 60, 40
acute, also scalene
2x, 4x+1, 6x-5
Perimeter of 26
What do we set = to each other?
What is x?
12x-4=26
x=2.5 or 2 1/2
An octagon with all side of 3x-5
x=5
what's each side length?
What's the perimeter?
10
80
3x+5y=15
What are my x and y intercepts
x: (5,0)
y: (0,3)