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08-11-2019
Mathematics

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Given ΔABC, m∠A = 50°, m∠B = 60°, and a = 7. Find c.

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Аноним Аноним

08-11-2019

Answer:

8.59 to the nearest hundredth.

Step-by-step explanation:

As there are 180 degrees in a triangle:

m <C = 180 - 50 - 60 = 70 degrees.

Using the Sine Rule:

a / sin A = c / sin C

7 / sin 50 = c / sin 70

c = 7 * sin 70 / sin 50

= 8.587 .

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