Question

triunghiul abc ad bisectoarea unghiului a ab =6 ac=10 bc=8 sa se afle bd dc
dau coroana​

Answer 1

Răspuns:

AD/AB=CD/BD

AD/6=(BC-BD)/BD

AD=6(8-BD)/BD

sau

AD/AC=BD/(BC-BD)

AD/10=BD/(8-BD)

AD=10BD/(8-BD)

le egalăm

6(8-BD)/BD=10BD/(8-BD)

6(8-BD)²=10BD²/:2

³64-³16BD+³BD²=5/3BD²

192-48BD-2BD²=0

-192+48BD+2BD²=0

BD= 3,5cm

DC=8-3,5=4,5cm