the pythagorean theorem - white plains middle …...the converse of the pythagorean theorem gives...
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Holt Geometry
5-7 The Pythagorean Theorem
Holt Geometry
5-7 The Pythagorean Theorem
True
True
False
False
True
True
Holt Geometry
5-7 The Pythagorean Theorem
Holt Geometry
5-7 The Pythagorean Theorem
( 𝟏𝟗)2 = x2 + ( 𝟕)2
19 = x2 + 7
132 = x2 + 122 x2 = 52 + 62
x2 = 25 + 36
x2 = 61
x = 𝟔𝟏
𝒙𝟐 = 𝟔𝟏
-7 = - 7
𝟏𝟐 = 𝒙𝟐
𝟒 𝟑 = x
2 𝟑 = x
12 = x2
169 = x2 + 144 -144 = - 144
𝟐𝟓 = 𝒙𝟐
5 = x
25 = x2
Holt Geometry
5-7 The Pythagorean Theorem
The converse of the Pythagorean Theorem gives you a way to tell if a triangle is a right triangle when you know the side lengths.
Holt Geometry
5-7 The Pythagorean Theorem
5 + 12 13
52 + 122 __ 132
169 __ 169 = RIGHT
25 + 144 __ 169
25 13 Is formed
Holt Geometry
5-7 The Pythagorean Theorem
2.8 + 4 6
𝟖𝟐 + 42 __ 62
24 __ 36 < Obtuse 8 + 16 __ 36
6.8 6 Is formed
Holt Geometry
5-7 The Pythagorean Theorem
20 + 21 28
202 + 212 __ 282
841 __ 784 > Acute 400 + 441 __ 784
41 28 Is formed
Holt Geometry
5-7 The Pythagorean Theorem
Holt Geometry
5-7 The Pythagorean Theorem
Right
Holt Geometry
5-7 The Pythagorean Theorem
Obtuse
Holt Geometry
5-7 The Pythagorean Theorem
Acute
Holt Geometry
5-7 The Pythagorean Theorem
Holt Geometry
5-7 The Pythagorean Theorem
Holt Geometry
5-7 The Pythagorean Theorem
Holt Geometry
5-7 The Pythagorean Theorem
Holt Geometry
5-7 The Pythagorean Theorem
𝒅𝟐 = 𝒍𝟐 + 𝒘𝟐 + 𝒉𝟐
𝒅𝟐 = 𝟒𝟐 + 𝟑𝟐 + 𝟖𝟐
𝒅𝟐 = 𝟏𝟔 + 𝟗 + 𝟔𝟒
𝒅𝟐 = 𝟖𝟗
𝒅𝟐 = 𝟖𝟗
𝒅 ≈ 𝟗. 𝟒 𝒊𝒏𝒄𝒉𝒆𝒔
Holt Geometry
5-7 The Pythagorean Theorem
(2 15)2 = x2 + (5 2)2 2 15
5 2
𝑥 4 ∙ 15 = x2 + 25 ∙ 2
60 = x2 + 50 -50 = - 50
10 = x2
𝟏𝟎 = 𝒙𝟐
𝟏𝟎 = x
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