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Question: Answered & Verified by Expert
In a $\triangle A B C, a=2 \mathrm{~cm}, b=3 \mathrm{~cm}, c=4 \mathrm{~cm}$ then $\cos A$ equals to -
MathematicsProperties of TrianglesJEE Main
Options:
  • A $\frac{8}{7}$
  • B $\frac{7}{8}$
  • C $\frac{1}{8}$
  • D $\frac{1}{7}$
Solution:
2987 Upvotes Verified Answer
The correct answer is: $\frac{7}{8}$
By the cosine rule,
$\cos A=\frac{b^2+c^2-a^2}{2 b c}$
$\cos A=\frac{3^2+4^2-2^2}{2(3)(4)}$
$\cos A=\frac{21}{24}$
$\cos A=\frac{7}{8}$

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