Solved for the value of y and found that y = 5.
What is the Pythagorean theorem?
In the Pythagorean theorem, the sum of the squares of the sides of a right-angled triangle is equal to the square of the longest side i.e, the hypotenuse of the triangle.
z² = x² + y²
The given triangle is a right-angled triangle. This means that we can use the Pythagorean theorem.
∴ y² + 12² = 13²
⇒ y² + 144 = 169
⇒ y² = 169-144
⇒ y² = 25
⇒ y = 5
Therefore, we have solved for the value of y and found that y = 5. The correct answer is option C.
Learn more about the Pythagorean theorem here-https://brainly.com/question/343682
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