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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.

13.20



C.

13.12



D.

12.96

Verified Answer :

nobillionaireNobley

\(a=\sqrt{c^2-b^2}=\sqrt{17^2-11^2}=\sqrt{289-121}=\sqrt{168}=12.96\)

taskmasters

Given:
Right triangle.
a = ? ; b = 11 ; c = 17.

Pythagorean theorem.

a² + b² = c²
a² = c² - b²
a² = 17² - 11²
a² = 289 - 121
a² = 168
a = √168
a = 12.96 Choice D. 

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