Find the value of x in the triangle shown below.

Answer:
x = [tex]\sqrt{53}[/tex]
Step-by-step explanation:
[tex]a^{2}[/tex] = [tex]b^{2}[/tex] + [tex]c^{2}[/tex]
[tex]x^{2}[/tex] = 7² + 2²
[tex]x^{2}[/tex] = 49 + 4
[tex]x^{2}[/tex] = 53
[tex]x[/tex] = [tex]\sqrt{53}[/tex]