1. Class Rules
 No Cellphones or Headphones allowed during class. Failure to comply will result in phones being held for the class or the day by the principal.
No use of classroom power outlets are to be used to charge electronic devices.
No eating or drinking other than water in class.
You will be seated when the bell rings or you will be tardy.
Trips outside of the classroom will cost you a tardy. (Unless notated by accommodations).
No talking during quizzes or tests; you will receive a zero.
Be respectful to each other and follow the instructions of the teacher.

2. 7.1 – Apply the Pythagorean Theorem

3. (hypotenuse)2 = (leg)2 + (leg)2
Pythagorean Theorem:
If a triangle is a right triangle, then (hypotenuse)2 = (leg)2 + (leg)2 c
leg
hypotenuse a
leg b
(hypotenuse)2 = (leg)2 + (leg)2
c2 = a2 + b2

4. 1. Find the value of x.
c2 = a2 + b2 H
x2 =
x2 =
x2 = 1521
x = 39

5. 1. Find the value of x.
c2 = a2 + b2
x2 = H
x2 =
x2 = 97

6. 1. Find the value of x.
c2 = a2 + b2
x2 =
x2 = H
x2 = 45

7. 1. Find the value of x.
c2 = a2 + b2
172 = x2 + 82
289 = x2 + 64 H
225 = x2

8. 1. Find the value of x.
c2 = a2 + b2
272 = x2 + 92
729 = x2 + 81
648 = x2 H

9. 1. Find the value of x.
c2 = a2 + b2
422 = x H
1764 = x
468 = x2

10. 2. Find the area of the isosceles triangle.
c2 = a2 + b2 H H
102 = h2 + 82
100 = h2 + 64 8 8
36 = h2 8
in2

11. 2. Find the area of the isosceles triangle.
c2 = a2 + b2 H
122 = h2 + 42
144 = h2 + 16
128 = h2 4
cm2

13. 2. Find the area of the isosceles triangle.
c2 = a2 + b2 H
442 = h
1936 = h 24 24
1360 = h2 24 m2

14. 7.2 – Converse of the Pythagorean

15. Pythagorean Theorem Converse:
If c2 = a2 + b2, then the triangle is a right triangle c a b

16. Acute Triangle:
If c2 < a2 + b2, then the triangle is acute c a b

17. Obtuse Triangle:
If c2 > a2 + b2, then the triangle is obtuse c a b

18. For each set of numbers, determine whether the numbers represent the side lengths of a triangle. If so, is the triangle acute, right, or obtuse. SHOW WORK!
c2 = a2 + b2
a. 8, 15, 17
172 =
> 17
289 =
> 15
289 = 289
> 8
Triangle: YES or NO
ACUTE, RIGHT, or OBTUSE

19. b. 3, 4, 9 3 + 4 > 9 7 > 9 Triangle: YES or NO
For each set of numbers, determine whether the numbers represent the side lengths of a triangle. If so, is the triangle acute, right, or obtuse. SHOW WORK!
b. 3, 4, 9
3 + 4 > 9
7 > 9
Triangle: YES or NO
ACUTE, RIGHT, or OBTUSE

20. For each set of numbers, determine whether the numbers represent the side lengths of a triangle. If so, is the triangle acute, right, or obtuse. SHOW WORK!
c2 = a2 + b2 c.
10, 11, 14
142 =
> 14
196 =
> 11
<
> 10
Triangle: YES or NO
ACUTE, RIGHT, or OBTUSE

21. For each set of numbers, determine whether the numbers represent the side lengths of a triangle. If so, is the triangle acute, right, or obtuse. SHOW WORK!
c2 = a2 + b2 d.
61 =
5 + 6 > 7.8
61 = 61
> 6
> 5
Triangle: YES or NO
ACUTE, RIGHT, or OBTUSE

22. For each set of numbers, determine whether the numbers represent the side lengths of a triangle. If so, is the triangle acute, right, or obtuse. SHOW WORK!
c2 = a2 + b2 e.
144 =
> 12
>
> 10
> 3.6
Triangle: YES or NO
ACUTE, RIGHT, or OBTUSE

23. For each set of numbers, determine whether the numbers represent the side lengths of a triangle. If so, is the triangle acute, right, or obtuse. SHOW WORK!
c2 = a2 + b2
f , 5.2, 6.1
> 6.1
37.21 =
> 5.2
<
> 4.3
Triangle: YES or NO
ACUTE, RIGHT, or OBTUSE

24. HW Problem 7.1 #26 H H c2 = a2 + b2 c2 = a2 + b2 a 52 = a2 + 32
7.2
3, 5, odd, 24, 26, 31, 39, 40
3-7 odd, odd, 25
7.1 #26
Ans: H H
c2 = a2 + b2
c2 = a2 + b2 a
52 = a2 + 32
x2 =
25 = a2 + 9
x2 =
16 = a2
x2 = 65
4 = a