Question

Fie ΔABC≡ΔEFG , cu m ( ungiului A) > 90 grade. Construim inaltimile CD si GH , cu D∈AB si H ∈EF. Aratati ca [DB] ≡[ HF]

Answer 1

ΔABC≡ΔEFG ⇒ AB≡EF, AC≡EG, BC≡FG. ΔDBC≡ΔHFG (<ABC=<HFG,<BDC=<FHG=90 grade) ⇒ deoarece BC≡FG: DC≡HG, BD≡HF.

Answer 2

<ABC=<HFG,<BDC=<FHG=90 grade) ⇒ deoarece BC≡FG: DC≡HG, BD≡HF.ΔABC≡ΔEFG ⇒ AB≡EF, AC≡EG, BC≡FG. ΔDBC≡ΔHFG