The value of x is [tex]\sqrt{233}[/tex], the correct option is B.
What is the Pythagoras theorem?
The Pythagoras theorem, also known as the Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of the other two sides of the triangle.
The value of the hypotenuse = x
The value of the Base = 8 cm
The value of the perpendicular = 13 cm
By applying Pythagoras theorem the value of x is;
[tex]\rm Hypotenuse^2=Perpendicular^2+Base^2\\\\x^2=13^2+8^2\\\\x^2=169+64\\\\x^2=233\\\\x=\sqrt{233}[/tex]
Hence, the value of x is [tex]\sqrt{233}[/tex], the correct option is B.
Learn more about Pythagoras' theorem here;
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