Answer:
Explanation:
1. The Pythagorean Theorem can be expressed as a² + b² = c², where a and b are the lengths of the two legs (the sides adjacent to the right angle) of a right-angled triangle, and c is the length of the hypotenuse (the side opposite the right angle).
2. To find the value of c (hypotenuse) when the other two values are 12 and 9, we can plug in the given values into the Pythagorean Theorem and solve for c.
a² + b² = c²
12² + 9² = c²
144 + 81 = c²
225 = c²
c = sqrt(225)
c = 15
Therefore, the value of c (hypotenuse) when the other two values are 12 and 9 is 15 cm.