Answer:
[tex]2^{2}[/tex] + [tex](2\sqrt{3}) ^{2}[/tex] = 4 + 4 * 3 = 16 = [tex]4^{2}[/tex]
Step-by-step explanation:
The Pythagorean Theorem states that the two shorter sides of a right triangle squared and added together will equal the longest side (hypotenuse) of the right triangle squared. The longest side of this right triangle is 4, 4 squared is 16. The two shorter sides of the right triangle are 2 and [tex]2\sqrt{3}[/tex], squared individually would be 4 and 12, and added together they also equal 16. These sides are a valid input for the Pythagorean Theorem, so these three sides are the sides of a right triangle. 2 and [tex]2\sqrt{3}[/tex] being the legs of the right triangle, and 4 being the hypotenuse.
