In \(\triangle ABC\), \(a=3,\ b=5,\ c=7\). Then angle \(C\) is
A. \(\frac{2\pi}{3}\)
B. \(\frac{5\pi}{6}\)
C. \(\frac{\pi}{3}\)
D. \(\frac{3\pi}{4}\)
A. \(\frac{2\pi}{3}\)
B. \(\frac{5\pi}{6}\)
C. \(\frac{\pi}{3}\)
D. \(\frac{3\pi}{4}\)
Best answer
Answer: A. \(\frac{2\pi}{3}\)
\(\cos C=\frac{9+25-49}{2\cdot3\cdot5}=-\frac12\Rightarrow C=\frac{2\pi}{3}\).
Log in or create a free account to answer this question.