Question

in triunghiul dreptunghic ABC,m(A)=90°,BC=40 cm si sinC=4/5
Aflati lungimea catetei AC si inaltimi AD


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Answer 1

Explicație pas cu pas:

cosC=AC/BC⇒√(1-sin²C)=AC/BC⇒√(1-16/25)=AC/BC⇒

⇒3/5=AC/40⇒AC=24 (cm)

AB=sinC*BC⇒AB=4/5*40⇒AB=32(cm)

AD-inaltimea ; AD=(AB*AC)/BC⇒AD=(32*24)/40=(4*24)/5=19,2(cm)

Bafta!