French Whittaker
08/29/2023 · High School
Suppose a triangle has two sides of length 33 and 37 , and that the angle between these two sides is \( 120^{\circ} \). Which equation should you solve to find the length of the third side of the triangle? A. \( c^{2}=33^{2}+37^{2}-2(33)(37) \sin 120^{\circ} \) B. \( c=33+37-2(33)(37) \cos 120^{\circ} \) C. \( \frac{\sin 33}{120}=\frac{\sin 37}{b} \) D. \( c^{2}=33^{2}+37^{2}-2(33)(37) \cos 120^{\circ} \)
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The correct equation is D. \( c^{2}=33^{2}+37^{2}-2(33)(37) \cos 120^{\circ} \).
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