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NAME
DATE
PERIOD
Name _____________________________________
Hour
______
Theorem Worksheet Day 2
8-2 8-2 Pythagorean
Skills Practice
For exercises 1 - 9, refer to the triangle. Find the missing side length. Round to the nearest tenth if needed.
The Pythagorean Theorem and Its Converse
Find x.
1.
2.
x
8-2
Skills Practice
DATE
x
Practice
DATE
Practice
2. a = 5, b = 12, c =5.
_______
9
x.
xFind
12.5
x
5. a = 9, b = 12, c = _______
NAME
12
ThePERIOD
Pythagore
1.
6.
9
6.
1. a = ______, b = 36, cx = 39
DATE
2.
14
3.
PERIOD
x 13
8. a = 3, b = 4, c = ________
9. a = 5, b =23______, c = 8
PERIOD
The Pythagorean
8-2 Practice Theorem and Its13Converse
25
7. a = 7, b = _______,DATE
c = 25
Find x.
the value of x.
Find
DATE
x
1.
x5
23 and Its Converse
rean Theorem
23
3.
34
13
21
3.
x
x 21
14.
4.
x
34
5.
16
5.
16
x
x
x
14
14
to find
18.x.
Use
o find
x.
34 x2.
26 26
8.
8.
27
36
x
36
136
x
x
26
6.
x
Skills Practice 18
x
21
26
8
x
10
26x22
18
20
x
The Pythagorean Theo
18
13.
1207,
9.
x
11.
4.
x
136
x
x
14. 8, 14, 20
25
136
x
120
5.
12.
40
x
15. 12.5, 13, 26
65
10.
8
120
65
39
42
x
17. 20, 21, 29
18. 32, 35, 70
Use
a
Pythagorean
Triple
to find x.
x
Determine whether each set of numbers can be measure of the si
Copyright © Glencoe/McGraw-Hil
42
x
25
Copyright © Glencoe/McGraw-Hill, a d
65
150
19.
12025
24,
x
39
3.
8.
Determine whether each set12.5
of numbers
can
9
x be9.measure of39the sides of9 a xtrian
x
If
so,
classify
the
triangle
as
acute,
obtuse,
or
right.
Justify
your
answer.
24
136
", 4
16. 3 √"
2 , √7
10.
42
8
34
9
x
Use a Pythagorean Triple to find x.
15.2634
16.
17. a Pythagorean Triple to
18
Use
4.
5.
6.
Find
x.
24
24
x
x
x
7.
8. 7.
9.
16
27
x
5.
6.
x
48
10.
12.
22
x 11.
24 422.
24
x
1.
5
14
x
25 6.
16
8
24
24
x
x
x
22
x
50
9
6.
24
20
24
24
x
42
40
x
36
14
10
x
12
42
1
Use a Pythagorean
Triple to find x.
42
12
65
27
7.
8.
x
10.
8-2
34
12
and 13.
Its Converse
3.9.
26
12
5.x
4.
9
21
25
a Pythagorean Triple to10.
find x.
7.
9.
NAME 8.
x 12.5
x12
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
34
12
26
13
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
2.
x
9
PERIOD
The Pythagorean
Theorem
Use11.a Pythagorean
Triple to12.
find
x.
Find
x.
orean
Its
2.
1. Theorem and
7. Converse
4.
2.
8
x
12
10.
PE
32
The PythagoreanFind
Theorem
and Its Convers
3. a = x.
______, b = 15, c31= 17
1. a = 10, b = 24, c = _______4.
4. a = 14, b = ______, c = 50
3.
8-2
12
8-2
12
NAME
x
9NAME
NAME
13
150
If so, classify the triangle as acute,
obtuse, or whether
right. Justify
your
Determine
each
seta
13. 7, 24, 25
7.
8.
the triangle
as 1a
14.If8,so,
14, classify
20
15. 12.5,
x
11. 10, 11, 20
1
5
13
Glencoe Geo
10.
8
Determine
whether each set of numbers can be measure of the sides of a triangle
150
42
If so, classify the triangle as acute, obtuse, or right. Justify your answer.
Chapter 8
20. This one is a little more challenging. Find x. You will have to use FOIL!!
21. What type of triangle has two congruent sides and two angles measuring 45 degrees?
A. isosceles
B. right isosceles
C. right
D. equilateral
22. Find the length of the diagonal of a rectangle whose length is 8 m and width is 5 m.
23. A baseball diamond is a square 90 ft on a side. What is the length from first base to third base?
24. A 26-foot ladder is leaning against a building. The foot of the ladder is 10 feet away from the building. How far above
the ground does the ladder touch the wall?
Determine whether each set of numbers can be the measure of the sides of a triangle. (HINT: The two smallest
sides must add to GREATER than the third side). If so, classify the triangle as acute, obtuse, or right.
25. 10, 11, 20
26. 30, 40, 50
27. 65, 72, 97
28. 8, 14, 20
29. 20, 21, 29
30. 7, 24, 25
31. 6, 8, 10
32. 20, 100, 110
33. 2, 5, 6
34. 13, 21, 24
35. 18, 24, 30
36. 32, 35, 70
BONUS QUESTIONS!! :)
MUST SHOW ALL WORK. 3 BONUS POINTS.
In the rectangular box below, EF = 16, FD = 5, and DB = 30. Find AF.
MUST SHOW ALL WORK. 5 BONUS POINTS. You can round each answer to the nearest tenth.