Bài 1:
Ta có AD là phân giác của góc A
=> \(\dfrac{AB}{AC}=\dfrac{DB}{DC}=\dfrac{15}{20}=\dfrac{3}{4}\)
\(\Rightarrow\dfrac{AB}{AC}=\dfrac{3}{4}\Rightarrow\dfrac{AB^2}{AC^2}=\dfrac{9}{16}\)
\(\Rightarrow\dfrac{AB^2}{AC^2+AB^2}=\dfrac{9}{25}\)
\(\Rightarrow\dfrac{AB^2}{BC^2}=\dfrac{9}{25}\)
\(\Rightarrow AB=\sqrt{35^2.\dfrac{9}{25}}=21\)
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