Question

In triunghiul ABC (m(Â)=90°), AD perpendicular BC se cunoaste AB=15, BC=25cm. Se cer BD,DC, AD si AC.plss

Answer 1

AC = Radical din BCxBC-ABxAB = radical 625-225=20 cm
sinus ABC = AC/BC = 20/25 = 4/5
In triunghiul ABD sinus ABD = sinus ABC = AD/AB=AD/15=4/5 
AD/15=4/5 rezulta AD = 15x4/5=12 cm
BD= radical ABxAB-ADxAD=radical 225-144 = 9 rezulta DC = BC-BD = 25-9 = 16 cm