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Properties of Triangle question

2024 · 6 Apr · Shift 2 · Q51

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JEE Main
Mathematics
Properties of Triangle
2024 · 6 Apr · Shift 2 · Q51

Properties of Triangle question

2024 · 6 Apr · Shift 2 · Q51

JEE MainMathematicsProperties of TriangleNumerical+4 / −1

In a triangle

\mathrm{ABC}, \mathrm{BC}=7, \mathrm{AC}=8, \mathrm{AB}=\alpha \in \mathrm{N}

and

\cos \mathrm{A}=\frac{2}{3}

. If

49 \cos (3 \mathrm{C})+42=\frac{\mathrm{m}}{\mathrm{n}}

, where

\operatorname{gcd}(m, n)=1

, then

m+n

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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