Digital ACT Math Practice Question #1200
Test your problem-solving accuracy on this official-caliber item. Select an answer choice to check your reasoning instantly.
Recall $\cos(60^\circ) = 1/2$. The $2ab\cos(C)$ term simplifies directly to $ab = 8 \times 11 = 88$. Compute $64 + 121 - 88 = 97$ in under 15 seconds.
Apply the Law of Cosines: $c^2 = a^2 + b^2 - 2ab\cos(C)$. Substituting the given values: $c^2 = 8^2 + 11^2 - 2(8)(11)\cos(60^\circ) = 64 + 121 - 176(0.5) = 185 - 88 = 97$. Therefore, $c = \sqrt{97}$....
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