Geometry

1
Geometry

• Triangles

2
Triangles

• Labeling Triangles
• Vertices
• Sides

A
b
c
C
B
a
3
Triangles

• Sum of Angles

?A ?B ?C 180?
A
?A ? ? 180?
??
??
?A 180? - 70? - 33?
?A 77?
77?
70?
70?
33?
33?
C
B
4
Right Triangles
hypotenuse
leg
90?
leg
5
Pythagorean Theorem
hypotenuse
c
leg
a
leg
b
6
Pythagorean Theorem

• Prove a triangle is a right triangle.

7
Pythagorean Theorem

• Is this a right triangle?

5.4 cm
1.9 cm
4.9 cm
8
Pythagorean Theorem

• Compute the hypotenuse.

9
Pythagorean Theorem
8 ft
8
6 ft
6
?
10
Pythagorean Theorem

• Compute the length of a leg of a right triangle.

11
Pythagorean Theorem
28 ft
28
?
45
45 ft
12
Area of Triangle

• Heros Formula

13
Introduction

• Area ?

14
(No Transcript)
15
Heros Formula

• Heros Formula

Part 1 Compute semiperimeter
Part 2 Compute area
b
c
a
16
142.5 80 62.5 142.5 95 47.5 142.5 110
32.5
Heros Formula
Part 1 Compute semiperimeter
Area 3708 sq ft
Part 2 Compute area
17
Homework

• Practice Set 9 pages 50-51
• 1-6

18
Application

• CG Height

cg height
Added Weight on scales
Level wheelbase
Raisedwheelbase
x
x
cg height
Distance Raised
x
Overall Weight
19
Application cg height
108
1410 lb
1590 lb
20
Application cg height
108
24
1518 lb
1482 lb
105.3
21
Added Weight on scales
Level wheelbase
Raisedwheelbase
x
x
108 lb
108
105.3
cg height
x
Distance Raised
24
Overall Weight
3000 lb
22
Application cg height
17.1
23
Application cg behind front wheels
108
1410 lb
1590 lb
cg location behind front wheels 57.24
24
Application cg behind front wheels
17.1
57.24
25
Sideways Location of cg
Light Side
center line
Track
cg location off-center on heavy side
Heavy Side
26
Sideways Location of cg
Right Side 1410 lbs
center line
Track 63
1.89
cg location off-center on heavy side
Left Side 1590 lbs
27
Practice

• Center of Gravity Worksheet