In the given diagram, the value of x is 15
Pythagorean theorem
The Pythagorean theorem states that, in a right triangle, the square of the longest side (hypotenuse) equals sum of squares of the other two sides
From the question, we are to determine the value of x.
x is the radius of the circle
Recall: Radius is any line that runs from the center to any part of the circumference
Consider the right triangle formed, x is the hypotenuse
By the Pythagorean theorem,
x² = 9² + 12²
x² = 81 + 144
x² = 225
x = √225
x = 15
Hence, the value of x is 15.
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