http://puu.sh/dHSwi.jpg

Question

solomonzelman · Answer

$\large\color{black}{ \sqrt{ 4.44^2+10.47^2 }    }$  will give you the bottom side.  (of the entire $\large\color{black}{ \triangle    }$ )
$\large\color{black}{  \sqrt{4.44^2+x^2   }  }$  will give you the left side (of the entire $\large\color{black}{ \triangle    }$ )

$\large\color{black}{ ( 4.44^2+10.47^2) +(4.44^2+x^2)=x+10.47    }$

solomonzelman · Answer

this is the equation for the hypotenuse of the entire $\large\color{black}{ \triangle  }$.

mathstudent55 · Answer

When you draw the altitude to the hypotenuse of a right triangle, you create three similar triangles. In this case, you can see which leg is the long leg and which leg is the short leg of each of the three triangles.
For the small triangle to the right, the long leg is 10.47, and the short leg is 4.44.
For the small triangle to the left, the long leg is 4.44, and the short leg is x.

mathstudent55 · Answer

Now you can set up a proportion to find x:

$\dfrac{10.47}{4.44} = \dfrac{4.44}{x} $