Data:
Notice that we have five metric relations in the right triangle:
. b² = am
. ah = bc
. c² = an
. h²= m*n
. a² = b² + c²
All of them are very useful in solving problems involving rectangular triangles.
Solving: (adopting: c² = an ) \(\textbf{\underline{See\:the\:attachment:}}\)
\(x^{2} = (2+12)*2\)
\(x^{2} = 14*2\)
\(x^{2} = 28\)
\(x = \sqrt{28}\)
\(\boxed{\boxedx{x \approx 5.29}}\end{array}}\qquad\quad\checkmark\)