1. 11.2 Pythagorean Theorem

2. Applies to Right Triangles Only!
hypotenuse c
Leg a
leg
Leg b

4. a²+b²=c² 1.) Plug in a leg and c 2.) Square the leg and c
Looking for hypotenuse
Steps:
1.)Plug in a and b into the equation
2.)Square a and b
3.) Add the squares
4.) Take the square root
Looking for a leg
1.) Plug in a leg and c
2.) Square the leg and c
3.) Subtract the leg from c

5. Find the missing side of the right triangle in
the 1 centimeter grid below. x 6 8

6. Find the missing side of the right triangle in
the 1 centimeter grid below. 4 x 7

7. Find the missing side of the right triangle in
the 1 centimeter grid below. 12 5 x

8. Find the missing side of the right triangle below.10 4 x

9. Find the missing side of the right triangle below.3 x 7

10. Can you form a right triangle with the given lengths?
1.) 5, 12, 13
5²+12²=13²
25+144=169
169=169 
Yes
2.) 1, 3, √12 1²+3²=(√12)² 1+ 9 =12 10= 12 No

11. A 12 foot ladder leans against a wall. How far
must the base of the ladder be placed away from
the wall if it is to reach a height of exactly 10 feet?
12 ft.
10 ft. x

12. A guide wire is needed to support a 20 foot pole.
How long should the guide wire be if it is to be
fixed to the ground 8 feet from the base of the pole? x
20 ft.
8 ft.

13. Homework
Page 567 (14-32) even