Question

19 multiple choice 1 point use the law of cosines. find b to the nearest tenth. 65 26° 113 63.1 147.5 61.6 173.8

Explanation:

Step1: Recall the Law of Cosines formula

The Law of Cosines formula is \( b^{2}=a^{2}+c^{2}-2ac\cos B\). In \(\triangle ABC\), let \(a = 65\), \(c = 113\), and \(B=26^{\circ}\).

Step2: Substitute the values into the formula

$$
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$$

Step3: Solve for \(b\)

Take the square root of both sides: \(b=\sqrt{3800.628}\approx61.6\)

Answer:

\(61.6\) (the third option)