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4) 5.3   5) 7.7    6) 8   7) 4.6    8) 4.9   9) 7.5   10) 6.7   11) 2.2   12) 8.5   13) 6.3    14) 10.9

Step-by-step explanation:

4) a² + 6² = 8²           Use Pythagorean Theorem

   a² + 36 = 64

        - 36  - 36          Subtract 36 from both sides

a² = 28                      Take the square root of both sides

a = 5.3

5) a² + 2² = 8²           Use Pythagorean Theorem

   a² + 4 = 64

        - 4    - 4             Subtract 4 from both sides

a² = 60                      Take the square root of both sides

a = 7.7

6) a² + 6² = 10²        Use Pythagorean Theorem

   a² + 36 = 100

        - 36    - 36      Subtract 36 from both sides

a² = 64                     Take the square root of both sides

a = 8

7) a² + 2² = 5²         Use Pythagorean Theorem

   a² + 4 = 25        

        - 4    - 4          Subtract 4 from both sides

a² = 21                     Take the square root of both sides

a = 4.6

8) a² + 5² = 7²         Use Pythagorean Theorem

   a² + 25 = 49

        - 25  - 25       Subtract 25 from both sides

a² = 24                    Take the square root of both sides

a = 4.9

9) a² + 8² = 11²         Use Pythagorean Theorem

   a² + 64 = 121

        - 64   - 64       Subtract 64 from both sides

a² = 57                     Take the square root of both sides

a = 7.5

10) a² + 2² = 7²        Use Pythagorean Theorem

     a² + 4 = 49

          - 4     - 4        Subtract 4 from both sides

a² = 45                     Take the square root of both sides

a = 6.7

11) a² + 2² = 3²          Use Pythagorean Theorem

    a² + 4 = 9

         - 4  - 4             Subtract 4 from both sides

a² = 5                        Take the square root of both sides

a = 2.2

12) a² + 7² = 11²         Use Pythagorean Theorem

    a² + 49 = 121

         - 49   - 49        Subtract 49 from both sides

a² = 72                       Take the square root of both sides

a = 8.5

13) a² + 3² = 7²          Use Pythagorean Theorem

    a² + 9 = 49

          - 9   - 9           Subtract 9 from both sides

a² = 40                      Take the square root of both sides

a = 6.3

14) a² + 13² = 17²       Use Pythagorean Theorem

     a² + 169 = 289

          - 169   - 169   Subtract 169 from both sides

a² = 120                    Take the square root of both sides

a = 10.9

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step-by-step explanation: