The document discusses the Pythagorean theorem. It defines the terms leg and hypotenuse in a right triangle. The Pythagorean theorem states that the sum of the squares of the legs equals the square of the hypotenuse. The document provides examples of using the Pythagorean theorem to solve for missing lengths in right triangles.

2. The two sides which
come together in a right
angle are called

3. The two sides which
come together in a right
angle are called

4. The two sides which
come together in a right
angle are called

5. The lengths of the legs are
usually called a and b.
a
b

6. The side across from the
right angle
a
b
is called the

7. And the length of the
hypotenuse
is usually labeled c.
a
b
c

8. The relationship Pythagorus
discovered is now called
The Pythagorean Theorem:
a
b
c

9. The Pythagorean Theorem
says, given the right triangle
with legs a and b and
hypotenuse c,
a
b
c

10. then
a
b
c
.222
cba =+

11. Practice using
The
Pythagorean
Theorem to solve
these right triangles:

12. 5
12
c = 13

13. 10
b
26

14. 10
b
26
= 24
(a)
(c)
222
cba =+
222
2610 =+ b
676100 2
=+ b
1006762
−=b
5762
=b
24=b

15. 12
b
15
= 9

16. Find the length of a diagonal
of the rectangle:
15"
8"
?

17. Find the length of a diagonal
of the rectangle:
15"
8"
?
b = 8
a = 15
c

18. 222
cba =+ 222
815 c=+ 2
64225 c=+ 2892
=c 17=c
b = 8
a = 15
c

19. Find the length of a diagonal
of the rectangle:
15"
8"17

20. JOB WELL
DONE!