Answer:
the length is approximately 13
Step-by-step explanation:
If a triangle has a hypotenuse, this means that it is right triangle. Knowing that it is right triangle we can use the Pythagorean Theorem
Pythagorean Theorem:
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {11}^{2} + {b}^{2} = {17}^{2} [/tex]
[tex]121 + {b}^{2} = 289[/tex]
[tex] {b}^{2} = 289 - 121[/tex]
[tex] {b}^{2} = 168[/tex]
[tex]b = \sqrt{168} [/tex]
[tex]b = 12.9614813968[/tex]