Answer:
c = 13
Step-by-step explanation:
1. Pythagorean theorem states that c^2 = a^2 + b^2
2. In this case, a = 5, b = 12. Therefore, the equation is:
c^2 = 5^2 + 12^2
3. c^2 = 25+144 = 169
4. square root both sides
5. c = 13, c = -13
6. c = 13 since a length cannot be negative.
7. Final answer: C = 13
