Answer:
AC = 13
Explanation:
Let's call the length of AB x and the length of BC y. Then, the Pythagorean theorem tells us that:
AC^2 = AB^2 + BC^2
AC^2 = x^2 + y^2
We are given that the length of AB is 5 cm and the length of BC is 12 cm. Substituting these values into the equation above gives:
AC^2 = 5^2 + 12^2
AC^2 = 25 + 144
AC^2 = 169
Taking the square root of both sides gives:
AC = √169
AC = 13
Therefore, the length of the hypotenuse, AC, is 13 cm.