Question

Triunghi ABC
m(a)=90grd
Ad perpendicular Bc
D€(bc)
m(acb)=60grade
DC=6CM

AD,BD,AB,AC,BC=?

Answer 1

ADC triunghi dreptunghic, C=60, D=90, unghiul DAC=180-(60+90)=30
conf t unghiului de 30, DC=AC/2, AC=2DC=12 cm
t lui Pitagora AC²=DC²+AD², AD²=AC²-DC²=144-36=108, AD=6√3
ABC t drepunghic t inaltimii
AD²=DCxBD, BD=AD²/DC=108/6=18
BC=BD+DC=18+6=24
t catetei
AB²=BDxBC=18x24=432, AB=12√3