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Mathematics - Properties of Triangle Question with Solution | TestHub

MathematicsProperties of TriangleGeneral (basic formula based)Easy2 minai-gemini

MathematicsEasysingle choice

In a triangle $A BC$ , the sides are $a = 3$ , $b = 5$ , and $c = 7$ . The value of $cos C$ is:

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Answer:

Solution:

Using the Cosine Rule, $cos C = \frac{a ^{2} + b ^{2} - c ^{2}}{2 ab}$ . Substituting the given side lengths, $cos C = \frac{3 ^{2} + 5 ^{2} - 7 ^{2}}{2 \cdot 3 \cdot 5} = \frac{9 + 25 - 49}{30} = \frac{34 - 49}{30} = \frac{- 15}{30} = - 1/2$ .

Stream:JEESubject:MathematicsTopic:Properties of TriangleSubtopic:General (basic formula based)

⏱ 2mℹ️ Source: ai-gemini

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