Question

Solve ΔABC. Round decimal answers to the nearest tenth. m∠B = 25°, a = 8, c = 3.

Solution

Verified2.8 (8 ratings)

Answered 2 years ago

2.8 (8 ratings)

Answered 2 years ago

Step 1

1 of 4Use the Law of Cosines to find $b$:

$\begin{align*} b^2&=a^2+c^2-2ac\cos B \tag{Law of Cosines}\\ b^2&=8^2+3^2-2\cdot 8\cdot3 \cdot \cos 25^{\circ} \tag{Substitute}\\ b^2&=73-43.5\\ b&=\sqrt{29.5} \tag{Find the positive square root}\\ b&\approx 5.4 \tag{Use a calculator}\\ \end{align*}$

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