Question

Please Help! :)
Also, Please show your work.

Answer 1

I'm going to assume that this is a right triangle.
Use the Pythagorean Theorem: a^2 + b^2 = c^2
a=17
b=?
c=19
(17)^2 + b^2 = (19)^2
289 + b^2 = 361
b^2 = 361 - 289
b^2 = 72
b = 8.49

Answer 2

Follow the 

a² + b² = c²

formula, in which c² is the longest side (hypotenuse).

Let ? = x

x² + 17² = 19²

Simplify:
x² + 289 = 361

Isolate the x, subtract 289 from both sides

x² + 289 (-289) = 361 (-289)

x² = 361 (-289)

x² = 72

finally, to find the side, square root both sides to isolate the x

√x² = √72

x = √72

Simplify √72

                         √72
                         |     |
                         8    9
                       |   |  |  | 
                       4 2  3 3 
√3 x √3 = 3
√4 = 2

3 x 2 = 6

6√2

6√2 should be your answer

hope this helps