The information given represents lengths of sides of a right triangle with c the hypotenuse. find the correct missing length to the nearest hundredth. a calculator may be .

a = ? , b = 11, c = 17

a.12.75

b.13.12

c.13.20

d.12.96

A & b are the legs of the triangle.
c is the hypotenuse of the triangle. 
You need to solve a.

Formula:-

a² + b² = c²

Lets substitute for each variable:

a² + 11² = 17²

Now lets solve:

 a² + 11² = 17²
a² + 121 = 289
289 - 121 = x²
289 - 121 = 168
√168 ≈ 13

a² ≈ 13