Question

in triunghiul ABC cu AB=18cm,AC=15cm, BC=22cm, AD bisectoare, D apartine BC , DE paralel cu AB, E apartine AC . Sa se calculeze BD si DC, perimetrul ABDE

Answer 1

Aplic T bisectoarei in triunghiul ABC
BD/DC=AB/AC=18/15
(BD+DC)/DC=(18+15)/15
22/DC=33/15
DC=10
BD=22-10=12
B)
ΔDECasemeneaΔBAC
DC/BC=EC/AC=DE/AB
10/22=EC/15=DE/18
EC=150/22
AE=15-150/22
DE=180/22
PABDE=18+12+180/22+15-150/22=45+30/22