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In ` A B C ,A D`is the median through `A`and `E`is the mid-point of `A D`. `B E`produced meets `A C`in `F`(Figure). Prove that `A F=1/3A Cdot` |
Answer» Construction DK||BF In`/_ADK` E is the midpoint od AD and EF||DK F is the midpoint of AK AF=FK-(1) K is the mid point of FC FK=KC-(2) FK=KC=KC AC=AF+FK+KC AC=AF+AF+AF=3AF `AF=1/3AC`. |
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