Answer:
[tex]x=\sqrt{12}[/tex]
Step-by-step explanation:
The Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex] in a right triangle where c is the longest side. To solve for x, we plug in the side lengths given as a and c.
[tex]a^2+b^2=c^2\\2^2+x^2=4^2[/tex]
Move 2² to the other side to isolate b²
[tex]x^2=4^2-2^2[/tex]
Square root both sides to isolate b
[tex]x=\sqrt{4^2-2^2}\\x=\sqrt{16-4} \\x=\sqrt{12}[/tex]
I hope this helps!
