Verified Answer :




Data:

Notice that we have five metric relations in the right triangle:

 
. b² = am

. a
h = bc

. c² = a
n

. h²= m*n

. a² = b² + c² 
 
All of them are very useful in solving problems involving rectangular triangles.

Solving: (adopting: c² = an ) \(\textbf{\underline{See\:the\:attachment:}}\)

\(x^{2} = (2+12)*2\)
\(x^{2} = 14*2\)
\(x^{2} = 28\)
\(x = \sqrt{28}\)
\(\boxed{\boxedx{x \approx 5.29}}\end{array}}\qquad\quad\checkmark\)


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