Answer:
The correct answer option is C. 3√5.
Step-by-step explanation:
Here in this figure, we have a square and a triangle. We know that a square all the sides of equal length.
Since the side length of this square is 6 which also the side of the triangle then it is also equal to 6.
Now that we know the height and the base of the triangle, we can find x which is the hypotenuse by using the Pythagoras Theorem.
[tex]x^2 = 6^2 + 3^2[/tex]
[tex]x^2 = 36 + 9[/tex]
[tex]x^2 = 45[/tex]
Taking square root on both the sides, we get:
[tex]x= 3\sqrt{5}[/tex]
