Final answer:
To find AD and DC using the Pythagorean theorem, we first determine the lengths of the legs of the right triangle formed by these sides. AD can be found using the Pythagorean theorem. AC can be found by adding AD and DC.
Step-by-step explanation:
To find AD and DC using the Pythagorean theorem, we need to determine the lengths of the legs of the right triangle formed by these sides. Let's assume AD is one leg and DC is the other leg.
Given that DC = 4 and AC = 5, we can use the Pythagorean theorem to find AD. Using the formula a² + b² = c², we have AD² + 4² = 5². Solving this equation, we get AD² = 25 - 16 = 9. Taking the square root of both sides, we find that AD = 3.
Now, to find AC using addition, we simply add AD and DC. AC = AD + DC = 3 + 4 = 7.