a.
Ta có DI là phân giác của góc EDF
=> \(\dfrac{IE}{IF}=\dfrac{DE}{DF}=\dfrac{3}{4}\)
b.
Ta có:
\(\dfrac{IE}{IF}=\dfrac{3}{4}\Rightarrow\dfrac{IE}{3}=\dfrac{IF}{4}=\dfrac{IE+IF}{3+4}=\dfrac{5}{7}\)
Suy ra:
\(\dfrac{IE}{3}=\dfrac{5}{7}\Rightarrow IE=\dfrac{5.3}{7}=\dfrac{15}{7}\)
\(\dfrac{IF}{4}=\dfrac{5}{7}\Rightarrow IF=\dfrac{5.4}{7}=\dfrac{20}{7}\)