find to the nearest degree the largest angle of a triangle with sides ,, and .?

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  • The largest angle will be opposite the longest leg … so the largest angle is opposite the leg … call it θ

    You know the three sides of the triangle … so use the law of cosines:

    a² = b² + c² – bc cos A

    cos A = (b² + c² – a²) / (bc)

    so cos θ = (² + ² – ²) / ( * * )

    θ = arccos [(² + ² – ²) / ( * * )]

    θ = ° (to the nearest whole degree)

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