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Trava [24]
2 years ago
6

A 12.0-cm segment makes a 108.0-degree angle with a 16.0-cm segment. To the nearest tenth of a cm, find the third side of the tr

iangle determined by this SAS information.
Mathematics
1 answer:
Dominik [7]2 years ago
7 0

Begin by using the cosine rule to find the unknown side.

Where a- unknown side, b is 12, c is 16 and angle in between is 108° 

The cosine rule...

        a² = b² + c² - 2bc cosA

            = 12² + 16² - (2×12×16 cos108°)

            = 518.655076

Taking the positive square root...

         a = 22.774 

         a = 22.8 cm nearest tenth

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