Question

what is the value of n to the nearest whole number? 10 13 18 21 law of cosines: $a^{2}=b^{2}+c^{2}-2bccos(a)$

Explanation:

Step1: Identify right triangle sides

HN=12, NK=6, right angle at N.

Step2: Apply Pythagorean theorem

\( n^2 = 12^2 + 6^2 \)

Step3: Calculate n²

\( n^2 = 144 + 36 = 180 \)

Step4: Find n and round

\( n = \sqrt{180} \approx 13.42 \approx 13 \)

Answer:

B. 13