Respuesta :

Answer:

x=10

Step-by-step explanation:

First split the triangle in half. The lengths and width are: 1/2x, 12, and 13.

Again, you use the pythagorean theorem ([tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]) except you reverse it to find [tex]a^{2}[/tex].   [tex]c^{2}[/tex]-[tex]b^{2}[/tex]=[tex]a^{2}[/tex]  plug in the numbers (169-144=[tex]a^{2}[/tex]) ----> a=5----> the thing is you want to find x, which is the length of the whole triangle, not the half one. So then you multiply by 2 to get x=10