※ 引述《mrjj123 (RRRRRRRR)》之銘言:
: https://i.imgur.com/hTsAX9N.jpg
: 請問這題要怎麼解呢
△ABC : △ACD : △ADE = 2 : 4 : 3
△ACD / △ABC = AD sinβ / AB sinα = 2 / 1
△ACD / △ADE = AC sinβ / AE sinγ = 4 / 3
2 * 4 / 3 = 8 / 3 = (sinβ * 4) / ((2 + 4 + 3) * sinαsinγ)
=> sinβ / (sinαsinγ) = 6
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