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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 helpful.


a = ?, b = 11, c = 17



A.12.75



B.13.12



C.13.20



D.12.96

Verified Answer :

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

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