Show that the side c of any triangle ABC is related to the perpendicular h from C to side AB by the equation c = h cot A + h cot B.
Chapter 4, Review Exercises #67
Show that the side c of any triangle ABC is related to the perpendicular h from C to side AB by the equation
c = h cot A + h cot B.
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Answer
We shall make advantage of the fact that the tangent of an acute angle in any right triangle equals …View the full answer

Related Book For
Basic Technical Mathematics
12th Edition
Authors: Allyn J. Washington, Richard Evans
ISBN: 9780137529896
Answers for Questions in Chapter 4
Exercises 4.1:
- E4.1-1
- E4.1-2
- E4.1-3
- E4.1-4
- E4.1-5
- E4.1-6
- E4.1-7
- E4.1-8
- E4.1-9
- E4.1-10
- E4.1-11
- E4.1-12
- E4.1-13
- E4.1-14
- E4.1-15
- E4.1-16
- E4.1-17
- E4.1-18
- E4.1-19
- E4.1-20
- E4.1-21
- E4.1-22
- E4.1-23
- E4.1-24
- E4.1-25
- E4.1-26
- E4.1-27
- E4.1-28
- E4.1-29
- E4.1-30
- E4.1-31
- E4.1-32
- E4.1-33
- E4.1-34
- E4.1-35
- E4.1-36
- E4.1-37
- E4.1-38
- E4.1-39
- E4.1-40
- E4.1-41
- E4.1-42
- E4.1-43
- E4.1-44
- E4.1-45
- E4.1-46
- E4.1-47
- E4.1-48
- E4.1-49
- E4.1-50
- E4.1-51
- E4.1-52
- E4.1-53
- E4.1-54
- E4.1-55
- E4.1-56
Exercises 4.2:
- E4.2-1
- E4.2-2
- E4.2-3
- E4.2-4
- E4.2-5
- E4.2-6
- E4.2-7
- E4.2-8
- E4.2-9
- E4.2-10
- E4.2-11
- E4.2-12
- E4.2-13
- E4.2-14
- E4.2-15
- E4.2-16
- E4.2-17
- E4.2-18
- E4.2-19
- E4.2-20
- E4.2-21
- E4.2-22
- E4.2-23
- E4.2-24
- E4.2-25
- E4.2-26
- E4.2-27
- E4.2-28
- E4.2-29
- E4.2-30
- E4.2-31
- E4.2-32
- E4.2-33
- E4.2-34
- E4.2-35
- E4.2-36
- E4.2-37
- E4.2-38
- E4.2-39
- E4.2-40
- E4.2-41
- E4.2-42
Exercises 4.3:
- E4.3-1
- E4.3-2
- E4.3-3
- E4.3-4
- E4.3-5
- E4.3-6
- E4.3-7
- E4.3-8
- E4.3-9
- E4.3-10
- E4.3-11
- E4.3-12
- E4.3-13
- E4.3-14
- E4.3-15
- E4.3-16
- E4.3-17
- E4.3-18
- E4.3-19
- E4.3-20
- E4.3-21
- E4.3-22
- E4.3-23
- E4.3-24
- E4.3-25
- E4.3-26
- E4.3-27
- E4.3-28
- E4.3-29
- E4.3-30
- E4.3-31
- E4.3-32
- E4.3-33
- E4.3-34
- E4.3-35
- E4.3-36
- E4.3-37
- E4.3-38
- E4.3-39
- E4.3-40
- E4.3-41
- E4.3-42
- E4.3-43
- E4.3-44
- E4.3-45
- E4.3-46
- E4.3-47
- E4.3-48
- E4.3-49
- E4.3-50
- E4.3-51
- E4.3-52
- E4.3-53
- E4.3-54
- E4.3-55
- E4.3-56
- E4.3-57
- E4.3-58
- E4.3-59
- E4.3-60
Exercises 4.4:
- E4.4-1
- E4.4-2
- E4.4-3
- E4.4-4
- E4.4-5
- E4.4-6
- E4.4-7
- E4.4-8
- E4.4-9
- E4.4-10
- E4.4-11
- E4.4-12
- E4.4-13
- E4.4-14
- E4.4-15
- E4.4-16
- E4.4-17
- E4.4-18
- E4.4-19
- E4.4-20
- E4.4-21
- E4.4-22
- E4.4-23
- E4.4-24
- E4.4-25
- E4.4-26
- E4.4-27
- E4.4-28
- E4.4-29
- E4.4-30
- E4.4-31
- E4.4-32
- E4.4-33
- E4.4-34
- E4.4-35
- E4.4-36
- E4.4-37
- E4.4-38
- E4.4-39
- E4.4-40
- E4.4-41
- E4.4-42
Exercises 4.5:
- E4.5-1
- E4.5-2
- E4.5-3
- E4.5-4
- E4.5-5
- E4.5-6
- E4.5-7
- E4.5-8
- E4.5-9
- E4.5-10
- E4.5-11
- E4.5-12
- E4.5-13
- E4.5-14
- E4.5-15
- E4.5-16
- E4.5-17
- E4.5-18
- E4.5-19
- E4.5-20
- E4.5-21
- E4.5-22
- E4.5-23
- E4.5-24
- E4.5-25
- E4.5-26
- E4.5-27
- E4.5-28
- E4.5-29
- E4.5-30
- E4.5-31
- E4.5-32
- E4.5-33
- E4.5-34
- E4.5-35
- E4.5-36
- E4.5-37
- E4.5-38
- E4.5-39
- E4.5-40
- E4.5-41
- E4.5-42
- E4.5-43
- E4.5-44
Review Exercises:
- RE-1
- RE-2
- RE-3
- RE-4
- RE-5
- RE-6
- RE-7
- RE-8
- RE-9
- RE-10
- RE-11
- RE-12
- RE-13
- RE-14
- RE-15
- RE-16
- RE-17
- RE-18
- RE-19
- RE-20
- RE-21
- RE-22
- RE-23
- RE-24
- RE-25
- RE-26
- RE-27
- RE-28
- RE-29
- RE-30
- RE-31
- RE-32
- RE-33
- RE-34
- RE-35
- RE-36
- RE-37
- RE-38
- RE-39
- RE-40
- RE-41
- RE-42
- RE-43
- RE-44
- RE-45
- RE-46
- RE-47
- RE-48
- RE-49
- RE-50
- RE-51
- RE-52
- RE-53
- RE-54
- RE-55
- RE-56
- RE-57
- RE-58
- RE-59
- RE-60
- RE-61
- RE-62
- RE-63
- RE-64
- RE-65
- RE-66
- RE-68
- RE-69
- RE-70
- RE-71
- RE-72
- RE-73
- RE-74
- RE-75
- RE-76
- RE-77
- RE-78
- RE-79
- RE-80
- RE-81
- RE-82
- RE-83
- RE-84
- RE-85
- RE-86
- RE-87
- RE-88
- RE-89
- RE-90
- RE-91
- RE-92
- RE-93
- RE-94
- RE-95
- RE-96
- RE-97
- RE-98
- RE-99
- RE-100
- RE-101
- RE-102
- RE-103
- RE-104
- RE-105
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