Un triunghi dreptunghic ABC are cateta AB=8 cm si ipotenuza BC=20 cm.Calculati distanta de la A la BC


Răspuns :

ΔABC, mas<A=90
AC²=BC²-AB²=20²-8² =400 -64= 336   ⇒AC=4√21

AD_|_ BC ; AD-inaltime AD-d(A;BC)

AD= AB*AC/BC

AD= 8* 4√21/20

AD= 8√21/5