Finding an Unknown Side - Set 1 PT 1
[Pages:3]?
Name:
Date:
Finding an Unknown Side - Set 1
Instructions: For each right triangle, use the Pythagorean Theorem to find the length of the unknown side `x'. (You can use a calcuator for the arithmetic if you want to.)
PT 1
1 x
4
2
x
15
4
42 + 42 = x2 16 + 16 = x2
32 = x 2
x2 = 32
x = 32
or 4 2 or 5.656...
12
x2 + 122 = 152 x2 + 144 = 225
-144 -144 x2 = 81
x2 = 81 x=9
3
13
x
4 x
6
3
x2 + 32 =
2
13
x2 + 9 = 13
-9 -9
x2 = 4
x2 = 4 x=2
2
6 2+ 22 = x2 6 + 4 = x2
10 = x2
x2 = 10 x = 10 or 3.162...
5 4
x
3
x2 + 32 = 42 x2 + 9 = 16
-9 -9 x2 = 7
x2 = 7 x= 7 or 2.645...
The Pythagorean Theorem ?
6 2.5 1.5
x
x2 + 1.5 2 = 2.52 x2 + 2.25 = 6.25
-2.25 -2.25 x2 = 4
x2 = 4 x=2
? 2017 Math Plus Motion, LLC
?
Name:
Date:
Finding an Unknown Side - Set 2
Instructions: For each right triangle, use the Pythagorean Theorem to find the length of the unknown side `x'. (You can use a calcuator for the arithmetic if you want to.)
PT 2
1 x
6
8
62 + 82 = x2 36 + 64 = x2
100 = x2
x2 = 100 x = 10
2
26
x
x2 + 12 =
2
26
x2 + 1 = 26
-1 -1
x2 = 25
1
x2 = 25 x=5
3 x
3
6 2+ 32 = x2 6 + 9 = x2
15 = x2
6
x2 = 15 x = 15 or 3.872...
4
50
5
x
2
5
+
x2 =
50 2
25 + x2 = 50
-25
-25
x2 = 25
x2 = 25 x=5
5
x
12
2
x2 + 22 = 12 2 x2 + 4 = 12
-4 -4
x2 = 8
x2 = 8
x= 8 or 2 2 or 2.828...
The Pythagorean Theorem ?
6 x 0.3
0.4
0.32 + 0.42 = x2 0.09 + 0.16 = x2
0.25 = x2
x2 = 0.25 x = 0.5 or 0.25
? 2017 Math Plus Motion, LLC
?
Name:
Date:
Is it a right triangle?
Instructions: Use the Pythagorean Theorem to test the triangles shown or described in each problem below.
PT 3
1 If a triangle has sides that are 12, 10 and 6 meters long, is it a right triangle?
NOTE: when plugging the three sides into the test equation, always make the longest side `c'.
Test: 62 + 102 =? 122 36 + 100 =? 144
136 = 144 Nope!
2 Is this a right triangle?
32
4
Test:
4
42 + 42 =?
2
32
16 + 16
?
=
32
32 = 32 Yes
3 Is a triangle with side lengths of 4, 5, and 6 inches a right triangle?
Test:
42 +
52
?
=
62
16 + 25
?
=
36
41 = 36 No
4 A triangle has side lengths that are 7 cm, 7 cm and 11cm. Is it a right triangle ?
Test:
72 +
72
?
=
112
49 + 49
?
= 121
98 = 121 No
5 Is this a right triangle? 41
5 4
Test:
42 + 52 =?
2
41
16 + 25 =? 41
41 = 41 Yes
6 Is this a right triangle?
5
3
13
Test:
32 +
5 2 =?
2
13
9 + 5 =? 13
14 = 13 No
The Pythagorean Theorem ?
? 2017 Math Plus Motion, LLC
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