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Hypothèses
- AC || DE;
- A, B et E sont sur la même droite;
- D, B et C sont sur la même droite;
- mDB = 10,8 cm
- mCB = 3,6 cm
- mAC = 4,2 cm
Question
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Affirmations |
Justifications |
| ∠ABC ≅ ∠EBD
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| ∠EDB ≅ ∠ACB |
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| ∆ABC ∼ ∆EBD |
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\(\frac{m\overline{CB}}{m\overline{DB}} = \frac{m\overline{AC}}{m\overline{ED}} \Rightarrow \frac{3,6}{10,8} = \frac{4,2}{m\overline{ED}}\)
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\(m\overline{ED} = \frac{10,8 \times 4,2}{3,6} = 12,6 cm\)
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