Question

With this triangle find the value of x

Answer 1

Data:

Notice that we have five metric relations in the right triangle:
 
. b² = a*m
. a*h = b*c
. 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 ) $\textbf{\underline{See\:the\:attachment:}}$

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