Question

apply the pythagorean theorem to find the distance between points a and c. a (sqrt{24}) units b (sqrt{50}) units c (sqrt{74}) units d (sqrt{98}) units

Explanation:

Step1: Identify horizontal/vertical distances

Horizontal change: $7$ units, Vertical change: $5$ units

Step2: Apply Pythagorean Theorem

Let $d$ = distance AC.
$$d = \sqrt{7^2 + 5^2}$$

Step3: Calculate the value

$$d = \sqrt{49 + 25} = \sqrt{74}$$

Answer:

C. $\sqrt{74}$ units