Title: Objective To solve problems involving the Pythagorean Theorem'
1Objective- To solve problems involving the
Pythagorean Theorem.
For Right Triangles Only!
hypotenuse
- always opposite the right angle
leg
leg
2Objective- To solve problems involving the
Pythagorean Theorem.
For Right Triangles Only!
hypotenuse
c
a
leg
b
leg
3Objective- To solve problems involving the
Pythagorean Theorem.
For Right Triangles Only!
hypotenuse
c
a
b
a
b
4Objective- To solve problems involving the
Pythagorean Theorem.
For Right Triangles Only!
Pythagorean Theorem
c
a
b
5Solve for x.
x
6
8
6Solve for y.
7
4
y
7Solve for t.
6
t
15
8Pythagorean Triples
3 4 5
6 8 10
9 12 15
12 16 20
9Pythagorean 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
10To 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.
11A 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
12Informal Proof 1
Inscribe a square within the square.
13Informal Proof 1
a
b
c
a
b
c
c
b
c
a
a
b
14Informal Proof 1
a
b
c
a
b
c
a
b
c
c
b
c
a
a
b
15Informal Proof 1
a
b
c
b
c
a
c
b
c
a
a
b
16Informal Proof 1
a
b
c
b
c
b
c
a
a
c
b
c
a
a
b
17Informal Proof 1
a
b
c
b
c
b
c
a
a
c
a
b
18Informal Proof 1
a
b
c
b
c
b
c
a
a
b
c
a
c
a
b
19Informal Proof 1
a
b
c
c
b
a
b
c
a
c
a
b
20Informal Proof 1
a
b
c
c
b
a
b
c
a
c
a
c
a
b
b
21Informal Proof 1
a
b
c
c
b
a
b
c
a
c
a
b
22Informal Proof 1
a
b
c
c
b
a
b
c
a
c
a
b
23Informal Proof 1
a
b
c
a
c
b
b
c
a
b
c
a
c
a
b
24Informal Proof 1
a
c
b
b
c
a
c
b
b
a
c
a
c
a
b
25Informal Proof 1
a
b
c
c
b
b
a
c
a
c
a
a
c
b
b
26Informal Proof 1
a
b
c
c
b
b
a
b
c
a
c
a
a
c
b
27Informal Proof 1
a
b
c
c
b
a
b
c
a
a
c
b
28Informal Proof 2
a b
-
Total Purple Yellow Area
Area Area
a
b
-
c
a
b
c
c
b
c
a
a
b