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3 years ago

Please help me with part c! Thank you!

Mathematics

1 answer:

Alecsey [184]3 years ago

7 0

Answer:

15√3/14.

Step-by-step explanation:

C. The longest side x + 2 = 7 is opposite the largest angle 120 degrees. The other 2 sides are of length 3 and 5.

Using the Sine Law:

sin 120 = √3/ 2 = sin A'

7 / sin 120 = 5/ sin B

sin B = 5 sin 120 / 7 = 5√3/14.

7 / sin 120 = 3 / sin C

sin C = 3 sin 120 / 7 = 3√3 / 14

sin A + sin B + sin C = √3/ 2 + 5√3/14 + 3√3 / 14

= 7√3/ 14 + 5√3/14 + 3√3 / 14

= 15√3/14.

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