Question

1 △doc is a right triangle where m∠doc = 90°, od = 13, and oc = 17. how long is the hypotenuse?
options: 21.4, 13.4, 21.6, 11.0

Explanation:

Step1: Apply Pythagorean theorem

Let hypotenuse $DC = x$. For right triangle $\triangle DOC$, the theorem states $DC^2 = OD^2 + OC^2$.

Step2: Substitute given values

$$x^2 = 13^2 + 17^2$$
$$x^2 = 169 + 289$$
$$x^2 = 458$$

Step3: Solve for hypotenuse

$$x = \sqrt{458} \approx 21.4$$

Answer:

21.4 (Option A)