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Perhatikan gambar berikut Diketahui titik E dan F masing-masing merupakan titik tengah AD dan BC. Jika A B = p ​ , A D = q ​ , dan C D = r maka EF = ...

Perhatikan gambar berikut

Diketahui titik E dan F masing-masing merupakan titik tengah AD dan BC. Jika , , dan maka  

 

  1. begin mathsize 14px style 1 half p with rightwards arrow on top plus 1 half r with rightwards arrow on top end style

  2. begin mathsize 14px style 1 half p with rightwards arrow on top minus 1 half r with rightwards arrow on top end style

  3. begin mathsize 14px style 1 half p with rightwards arrow on top minus q with rightwards arrow on top plus 1 half r with rightwards arrow on top end style

  4. begin mathsize 14px style 1 half p with rightwards arrow on top minus 1 half q with rightwards arrow on top plus 1 half r with rightwards arrow on top end style

  5. begin mathsize 14px style 1 half p with rightwards arrow on top plus 1 half q with rightwards arrow on top plus 1 half r with rightwards arrow on top end style

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Perhatikan bahwa Sehingga

Perhatikan bahwa

begin mathsize 14px style stack A B with rightwards arrow on top plus stack B C with rightwards arrow on top plus stack C D with rightwards arrow on top equals stack A D with rightwards arrow on top p with rightwards arrow on top plus stack B C with rightwards arrow on top plus r with rightwards arrow on top equals q with rightwards arrow on top stack B C with rightwards arrow on top equals negative p with rightwards arrow on top plus q with rightwards arrow on top minus r with rightwards arrow on top end style 

 

Sehingga

begin mathsize 14px style stack E F with rightwards arrow on top equals stack E D with rightwards arrow on top plus stack D C with rightwards arrow on top plus stack C F with rightwards arrow on top equals 1 half stack A D with rightwards arrow on top plus stack D C with rightwards arrow on top plus 1 half stack C B with rightwards arrow on top equals 1 half stack A D with rightwards arrow on top plus open parentheses negative stack C D with rightwards arrow on top close parentheses plus 1 half open parentheses negative stack B C with rightwards arrow on top close parentheses equals 1 half stack A D with rightwards arrow on top minus stack C D with rightwards arrow on top minus 1 half stack B C with rightwards arrow on top equals 1 half q with rightwards arrow on top minus r with rightwards arrow on top minus 1 half open parentheses negative p with rightwards arrow on top plus q with rightwards arrow on top minus r with rightwards arrow on top close parentheses equals 1 half q with rightwards arrow on top minus r with rightwards arrow on top plus 1 half p with rightwards arrow on top minus 1 half q with rightwards arrow on top plus 1 half r with rightwards arrow on top equals 1 half p with rightwards arrow on top plus 1 half q with rightwards arrow on top minus 1 half q with rightwards arrow on top minus r with rightwards arrow on top plus 1 half r with rightwards arrow on top equals 1 half p with rightwards arrow on top minus 1 half r with rightwards arrow on top end style 

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Diketahui P adalah titik berat ΔABC dan D adalah titik tengah BC. Jika B A = p ​ dan BC = q ​ maka P D = ....

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