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Matematika
nadinr
Pertanyaan
tolong dijawab pake caranya,terimakasih:))
1 Jawaban
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1. Jawaban alex422
# segitiga ABC memenuhi perbandingan triple phytagoras 3:4:5=24:32:40
jadi AB = 32.
# misal AD = x, maka BD = 32 - x
[tex] {bc}^{2} = {ac}^{2} - {ab}^{2} = {cd}^{2} - {(32 - x)}^{2} \\ {40}^{2} - {32}^{2} = {25}^{2} - (1024 - 64x + {x}^{2} ) \\ 576 = - {x}^{2} + 64x - 399 \\ {x}^{2} - 64x + 975 = 0 \\ {(x - 32)}^{2} + 975 - 1024 = 0 \\ {(x - 32)}^{2} = 49 \\ (x - 32) =7 \: dan \: - 7 \\ x1 = 32 + 7 = 39 (tidak \: memenuhi)\\ x2 = 32 - 7 = 25(memenuhi)[/tex]