1. Check Homework, WS 1-6, Problems 7-25, odds:
7.) 8.2
9.) 8.0
11.) 5.1
13.) (0.5, 1)
15.) (-2.5, 6)
17.) (2.875, )
19.) (4, 10)
21.) Yes, all sides have length 6 by the dist. form.
23.)
25.) (3.5, 3)
Warmup
Compute the following:
(a+b)2=
(a–b)2=

2. Basic Proof of the Pythagorean Theorem:
A=c2
A=a2 a c b
A=b2

3. Use shapes to show: a2 ab a2 ab ab b2 b2 ab

4. Squaring a Binomial a2 b2 ab a b

5. Squaring a Binomial b a
(b–a) a b b2 a
(b–a)

6. Squaring a Binomial ab b2 ab a2
(b–a)2

7. Bhaskara’s Hindu Dissection Proof of the Pythagorean Theorem
Can you re-arrange into a square with side c?

8. BEHOLD! The shortest known proof!

9. Bhaskara’s Hindu Dissection Proof of the Pythagorean Theorem
(b–a) ?
BEHOLD! c b a

10. Garfield’s Geometry or c a b
Can you re-arrange these shapes into a trapezoid with bases a and b? c c

11. Garfield’s Geometry b a c

12. Homework
Pythagorean Dissection Proof
Pythagorean Word Problems

13. Name:
Use the following diagram to show proof of the Pythagorean theorem.
                            c a b