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Objective To solve problems involving the Pythagorean Theorem'

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Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only! ... Pythagorean Triples. 3 4 5. 6 8 10. 9 12 15. 12 16 20. 5 12 13 ... – PowerPoint PPT presentation

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Title: Objective To solve problems involving the Pythagorean Theorem'


1
Objective- To solve problems involving the
Pythagorean Theorem.
For Right Triangles Only!
hypotenuse
- always opposite the right angle
leg
leg
2
Objective- To solve problems involving the
Pythagorean Theorem.
For Right Triangles Only!
hypotenuse
c
a
leg
b
leg
3
Objective- To solve problems involving the
Pythagorean Theorem.
For Right Triangles Only!
hypotenuse
c
a
b
a
b
4
Objective- To solve problems involving the
Pythagorean Theorem.
For Right Triangles Only!
Pythagorean Theorem
c
a
b
5
Solve for x.
x
6
8
6
Solve for y.
7
4
y
7
Solve for t.
6
t
15
8
Pythagorean Triples
3 4 5
6 8 10
9 12 15
12 16 20
9
Pythagorean Triples
3 4 5
5 12 13
7 24 25
6 8 10
10 24 26
14 48 50
9 12 15
15 36 39
21 72 75
12 16 20
12
9
15
10
To the nearest tenth of a foot, find the length
of the diagonal of a rectangle with a width of
4 feet and a length of 10 feet.
x
4 ft.
10 ft.
11
A car drives 20 miles due east and then 45
miles due south. To the nearest hundredth of a
mile, how far is the car from its starting point?
20 miles
x
45 miles
12
Informal Proof 1
Inscribe a square within the square.
13
Informal Proof 1
a
b
c
a
b
c
c
b
c
a
a
b
14
Informal Proof 1
a
b
c
a
b
c
a
b
c
c
b
c
a
a
b
15
Informal Proof 1
a
b
c
b
c
a
c
b
c
a
a
b
16
Informal Proof 1
a
b
c
b
c
b
c
a
a
c
b
c
a
a
b
17
Informal Proof 1
a
b
c
b
c
b
c
a
a
c
a
b
18
Informal Proof 1
a
b
c
b
c
b
c
a
a
b
c
a
c
a
b
19
Informal Proof 1
a
b
c
c
b
a
b
c
a
c
a
b
20
Informal Proof 1
a
b
c
c
b
a
b
c
a
c
a
c
a
b
b
21
Informal Proof 1
a
b
c
c
b
a
b
c
a
c
a
b
22
Informal Proof 1
a
b
c
c
b
a
b
c
a
c
a
b
23
Informal Proof 1
a
b
c
a
c
b
b
c
a
b
c
a
c
a
b
24
Informal Proof 1
a
c
b
b
c
a
c
b
b
a
c
a
c
a
b
25
Informal Proof 1
a
b
c
c
b
b
a
c
a
c
a
a
c
b
b
26
Informal Proof 1
a
b
c
c
b
b
a
b
c
a
c
a
a
c
b
27
Informal Proof 1
a
b
c
c
b
a
b
c
a
a
c
b
28
Informal Proof 2
a b
-
Total Purple Yellow Area
Area Area

a
b
-

c
a
b
c
c
b
c
a
a
b
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