Question

What is the value of y?

Answer 1

Answer:

The answer to your question is:   b = 6√3

Step-by-step explanation:

Here we have a right triangle, so we can use the Pythagorean theorem to solve it.

                    c² = a² + b²

c = 9 + 3 = 12 units

a = 6 units

b = ?

Substitution

                     12² = 6² + b²

                     b² = 144 - 36

                     b² = 108

                     b = 10.4 units    or we need to find the prime factors of 108

                  108     2

                    54     2

                    27     3

                      9     3

                      3     3

                       1                     108 = 2² 3²3

                                            b =  √ 2² 3²3

                                            b = 6√3

Answer 2

Answer: 6.3^(1/2).

Step-by-step explanation: Using the pythagorean theorem in the triangle MNT, we can write: 6^2 + y^2 = 12^2 ;

36 + y^2 = 144; y^2 = 144 - 36 ; y^2 = 108 ; y = (36.3)^(1/2) = 6.3^(1/2).