Final answer:
The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). To find the value of c, we can rearrange the equation and substitute the given values of a and b.
Step-by-step explanation:
The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). The relationship is given by the equation a² + b² = c². To find the value of c, we can rearrange the equation to solve for c: c = √(a² + b²).
In this case, given that a = 11 and b = 60, we can substitute these values into the equation: c = √(11² + 60²) = √(121 3600) = √3721 = 61
Therefore, the value of c is 61.