Answer:
We can use the Pythagorean theorem to solve for the length of side AB. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, AB is the hypotenuse, so we have:
AB² = AC² + BC²
Substituting the given values, we get:
AB² = 13² + 5²
AB² = 169 + 25
AB² = 194
Taking the square root of both sides, we get:
AB ≈ 13.93 cm (rounded to two decimal places)
Therefore, the length of side AB is approximately 13.93 cm.