The sides of a $\triangle A B C$ are given by $a=3, b=5$ and $c=3$. Then, $\cos A=$

The sides of a $\triangle A B C$ are given by $a=3, b=5$ and $c=3$. Then, $\cos A=$
  1. $2 / 6$
  2. $1 / 6$
  3. 2/3
  4. $5 / 6$

Solution

$\begin{aligned} & a=3, b=5, c=3 \\ & \cos A=\frac{b^2+c^2-a^2}{2 b c}\end{aligned}$ $\begin{aligned} & =\frac{25+9-9}{2 \times 5 \times 3} \\ & =\frac{25}{30}=\frac{5}{6}\end{aligned}$

Asked in: AP EAMCET 2022 (07 Jul Shift 1)

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