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babunello [35]
3 years ago
6

In ΔABC, a = 660 cm, b = 680 cm and c=100 cm. Find the measure of ∠B to the nearest degree.

Mathematics
2 answers:
UkoKoshka [18]3 years ago
8 0

Answer:

M∠B = 97 degrees

Step-by-step explanation:

scoundrel [369]3 years ago
7 0

Answer:

m∠B = 97^{o}.

Step-by-step explanation:

Since the three sides of the triangle are given, then we apply cosine rule.

b^{2} = a^{2} + c^{2} - 2ac Cos B

But, a = 660 cm, b = 680 cm, and c = 100 cm.

So that;

680^{2} = 660^{2} + 100^{2} -2(660 x 100) Cos B

462400 = 435600 + 10000 - 132000 Cos B

462400 = 445600 - 132000 Cos B

132000 Cos B = 445600 - 462400

                        = -16800

Cos B = \frac{-16800}{132000}

         = -0.1273

B = Cos^{-1} -0.1273

  = 97^{o}

Thus, measure of ∠B is 97^{o}.

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