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Find the missing side or angle.

Round to the nearest tenth.
B=45°
a=9
c=19
b=[ ]

Find the missing side or angle. Round to the nearest tenth. B=45° a=9 c=19 b=[ ]-example-1

1 Answer

5 votes

Answer:


14.1

Explanation:

Since we have two sides of a triangle and the angle between them, we can use the Law of Cosines.

For any triangle, the Law of Cosines states:


b^2=a^2+c^2-2ac\cos B, where
a,
b, and
c are all interchangeable.

Substituting given values, we have:


b^2=9^2+19^2-2(9)(19)\cos 45^(\circ),\\b^2=200.169480834,\\b\approx \boxed{14.1}

User Ozan Yurtsever
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