Answer:
x = 12
Step-by-step explanation:
We will be using pythagoras theorem.
Therefore, we will have: [tex]a^{2}[/tex] + [tex]x^{2}[/tex] = [tex]13^{2}[/tex]
Moreover, we have: [tex]a^{2}[/tex] = [tex]4^{2} + 3^{2}[/tex] => [tex]a^{2}[/tex] = 25
=> 25 + [tex]x^{2}[/tex] = 169
=> [tex]x^{2}[/tex] = 144 => x = [tex]\sqrt{144}[/tex] = 12
