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Licemer1 [7]
2 years ago
10

In triangle ABC, what is the measure of b if a = 6, C = 4,

Mathematics
1 answer:
liubo4ka [24]2 years ago
5 0

Given:

In triangle ABC,  a = 6, c = 4, and B = 75°.

To find:

The measure of b.

Solution:

According to the Law of Cosine:

b^2=a^2+c^2-2ac\cos B

Substituting the given values in the above formula, we get

b^2=(6)^2+(4)^2-2(6)(4)\cos (75^\circ)

b^2=36+16-48(0.2588)

b^2=52-12.4224

b^2=39.5776

Taking square root on both sides, we get

b=\sqrt{39.5776}

b=6.291073

b\approx 6.29

The measure of side b is 6.29 units.

Therefore, the correct option is B.

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