Darth Vader explains the Pythagorean theorem and its converse. The document contains examples of using the Pythagorean theorem to find the length of a hypotenuse or the area of an isosceles triangle. It also lists some Pythagorean triples and provides a worksheet for students to practice applying the theorem and its converse, except for problems 7-9.

1. 7.1­7.2 Pythagorean Theorem
Worksheet except 7­9 on 7.2 side
December 04, 2014
Darth Vader Explains the Pythagorean Theorem

2. 7.1­7.2 Pythagorean Theorem
Worksheet except 7­9 on 7.2 side
December 04, 2014
7.1 Pythagorean Theorem
a2 + b2 = c 2
a
b
c
Find the length of the hypotenuse of the right triangle.
8
6x

3. 7.1­7.2 Pythagorean Theorem
Worksheet except 7­9 on 7.2 side
December 04, 2014
Find the area of the isosceles triangle with side lengths
10 meters, 13 meters, and 13 meters.
The area of the triangle is 60 square meters.

4. 7.1­7.2 Pythagorean Theorem
Worksheet except 7­9 on 7.2 side
December 04, 2014
Pythagorean Triples
Most Common
3, 4, 5 5, 12, 13 8, 15, 17 7, 24, 25
6, 8, 10 10, 24, 26 16, 30, 34 14, 48, 50
9, 12, 15 15, 36, 39 24, 45, 51 21, 72, 75
30, 40, 50 20, 120, 130 80, 150, 170 70, 240, 250
Found on page 435
5 13
x

5. 7.1­7.2 Pythagorean Theorem
Worksheet except 7­9 on 7.2 side
December 04, 2014
7.2 Converse of the Pythagorean Theorem
If c2 = a2 + b2, then is a right .
a
b
c
Tell whether the given triangle is a right triangle.

6. 7.1­7.2 Pythagorean Theorem
Worksheet except 7­9 on 7.2 side
December 04, 2014
HW Worksheet all
except 7, 8, 9 on 7.2
#21 is extra credit

7. 7.1­7.2 Pythagorean Theorem
Worksheet except 7­9 on 7.2 side
December 04, 2014

8. 7.1­7.2 Pythagorean Theorem
Worksheet except 7­9 on 7.2 side
December 04, 2014