Question

ABCD este dreptunghi;AB=5;BC=15; Calculati distanta de la A la dreapta BD.

Answer 1

Aflam BD cu Pitagora
BD=$\sqrt{250}=5\sqrt{10}$
Aflam distanta d de la A la BD cu teorema a doua a inaltimii in tr. ABD
$d= \frac{AB.AD}{BD}= \frac{5.15}{5\sqrt{10}}= \frac{15\sqrt{10}}{10} = \frac{3\sqrt{10}}{2}$