Finding an Unknown Side - Set 1 PT 1

Name:

?

Date:

Finding an Unknown Side - Set 1

PT 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.)

1

2

x

4

15

x

12

4

+ 42

16 + 16

4

2

= x2

32 = x

3

2

x =

= x2

32

x = 32

2

or

or

+ 122 = 152

2

x + 144 = 225

x

2

4 2

x

5.656...

2

x

= 81

x

6

3

+ 32 =

2

x + 9 =

x

2

-9

x

2

2

13

2

2

x =

13

-9

4

6

4

+ 32 =

2

x + 9 =

-9

x

2

4

2

16

-9

= 7

x = 10

or

2.5

3.162...

1.5

x

3

2

2

x = 10

2

10 = x

= 4

x

2

+ 22 = x 2

6 + 4 = x2

6

x = 2

5

x

81

x = 9

-144 -144

4

13

2

x =

2

x = 7

x= 7

or

2.645...

The Pythagorean Theorem ?

+ 1.5 2 = 2.52

2

x + 2.25 = 6.25

x

2

-2.25 -2.25

x

2

2

x =

4

x=2

= 4

? 2017 Math Plus Motion, LLC

Name:

?

Date:

Finding an Unknown Side - Set 2

PT 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.)

1

2

x

6

26

1

x

8

+8

36 + 64

2

2

6

= x

2

2

x = 100

= x2

100 = x

3

2

-1

x = 10

2

2

+ 12 =

2

x + 1 =

x

x

2

26

2

x = 25

26

-1

x = 5

= 25

4

x

50

5

6

3

x

2

+ 32 = x 2

6 + 9 = x2

6

2

x = 15

x = 15

2

15 = x

or

-25

6

2

2

x = 25

50

-25

x

12

x

50

x = 5

x 2 = 25

3.872...

5

2

+ x2 =

25 + x 2 =

5

0.3

0.4

+ 22 =

2

x + 4 =

x

2

-4

x

2

2

12

12

-4

= 8

2

2

x = 8

x= 8

or

or

2 2

+ 0.42 =

0.09 + 0.16 =

0.3

2

x2

x2

0.25 = x

2

2

x = 0.25

x = 0.5

or

0.25

2.828...

The Pythagorean Theorem ?

? 2017 Math Plus Motion, LLC

Name:

?

Date:

Is it a right triangle?

PT 3

Instructions: Use the Pythagorean Theorem to test the triangles shown or described in each

problem below.

1

If a triangle has sides that are 12, 10 and 6

meters long, is it a right triangle?

2

32

NOTE: when plugging the three sides into the

test equation, always make the longest side ¡®c¡¯.

2

2 ?

2

Test:

Test: 6 + 10 = 12

3

+ 52

16 + 25

Test: 4 2

5

4

?

= 62

= 32

?

A triangle has side lengths that are

7 cm, 7 cm and 11cm. Is it a right

triangle ?

+ 72

49 + 49

6

+ 52

16 + 25

2

?

Yes

The Pythagorean Theorem ?

2 ?

+ 5

9 + 5

3

?

= 41

41 = 41

13

Test:

2

No

3

5

5

4

= 41

?

Is this a right triangle?

41

4

?

= 112

= 121

98 = 121

No

Is this a right triangle?

Test:

Yes

Test: 7 2

?

= 36

41 = 36

2

4

4

2

= 32

32 = 32

Nope!

Is a triangle with side lengths of 4, 5, and

6 inches a right triangle?

2 ?

+4

16 + 16

4

?

36 + 100 = 144

136 = 144

Is this a right triangle?

2

= 13

2

?

= 13

14 = 13

No

? 2017 Math Plus Motion, LLC

 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download