Question

Intr-un triunghi dreptunghic ABC, m(A) = 90,AD⊥ BC, D ∈(BC), se da:

BD 9
---- = ---- siBc = 25cm
CD 16

Answer 1

BD= ?

Stim ca BC=BD+DC

BD=BC-CD

BD=25-16=9=>BD=9 cm

AB= ?

Aplicam teorema catetei pentru cateta AB

AB²=BD*BC

AB²=9*25

AB²= 225=>√AB=√225 cm =>AB=15 cm

Aflam AC cu teorema lui Pitagora :

AC²=BC²-AB²

AC²= 625-225=400=>AC²=400=>√AC=√400=20cm

Deci, AC=20cm