如图,在△ABCAB=7,AC=11,点M是BC的中点,AD是∠BAC的平分线,MF∥AD,则FC的长为_.
题目
如图,在△ABCAB=7,AC=11,点M是BC的中点,AD是∠BAC的平分线,MF∥AD,则FC的长为______.
答案
如图所示,
∵AD是∠BAC的平分线,∴
==,
∵点M是BC的中点,∴
=,解得
=.
∵MF∥AD,∴
==.
∵CF+FA=11,∴CF=9.
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