Question

In triunghiul isoscel ABC cu [AB]≡[AC],AB=25 cm,BC=30 cm,se construiesc inaltimile AD⊥BC,D∈BC si BE⊥AC,E∈AC.Se cere calculati:
a)lungimea inaltimii AD
b)lungimile segmentelor BE si EC

Answer 1

BD=BC:2

BD=30:2=15 cm

AD^2=AB^2-BC^2

AD^2=25^2-15^2

AD^2=625-225=400

AD=20 cm

AD*BC=BE*AC

20*30=BE*25

BE=600:25=24 cm

BEC=dreptunghic

CE^2=BC^2-BE^2

CE^2=30^2-24^2

CE^=900-576=324

CE= 18 cm

Sper că te-am ajutat