In △ABC, AB = 5, BC = 6, and CA = 7. E and F are points on sides AC and AB, respectively so that AF = 2 and AE = 4. Line FE intersects line BC at point D. What is BD?

Trigonometry (MindTap Course List)
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Author:Charles P. McKeague, Mark D. Turner
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Chapter2: Right Triangle Trigonometry
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In △ABC, AB = 5, BC = 6, and CA = 7. E and F are points on sides AC and AB, respectively so that AF = 2 and AE = 4. Line FE intersects line BC at point D. What is BD?

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