Question

In triunghiul dreptunghic ABC,cu masura A=90 grade,se duce AD,D apartine(BC).Stiind ca AC=36 cm si BC=60 cm,calculati BD,DC,AB,AD

Answer 1

ABC e triunghi dreptunghic
AC=36 cm
BC=60 cm
BD=?   DC=? AB=? AD=?
Aplicam teorema catetei:
AC²=DC*BC=>DC=AC²:BC
DC=1296: 60=21,6 cm
DC=21,6
BD=?
BC=BD+DC=>BD=BC-DC
BD=60-21,6=38,4 cm
AB=?
Teorema  lui Pitagora:
AB²=BC²-AC²
AB²=3600-1296=2304
AB=48 cm
AD=AB*AC/BC
AD=48*36  /   60=28,8 cm