Question

In triunghiul dreptunghic ABC,m(∡A)=90°,m(∡C)=30°si AD⊥BC,D∈(BC)si BD=9cm,calculati lungimilesegmentelor AD,DC,AB,AC si BC.

Answer 1

din datele problemei rez. BD/4=DC/9=k
BD=4k DC=9k stim ca BC=52=BD+DC=13k⇒k=4
BD=16
CD=36
AD²=16*36⇒(4*6)²⇒AD=24
A=Ip*h/2⇒52*24/2=624cm²
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