Question

Calculati lungimea laturilor BD si DC stiind ca triunghiul ABC este dreptunghic in A si AB=4,AC=10,BC=12.Ia sa vedem care ma ajuta?

Answer 1

ΔABC, mas<A=90
AD _|_ BC
AD-h

AD=AB*AC/BC=  4*10/12= 10/3

AB²=BD*BC

4²=BD*12

16=BD*12

BD=16/12= 4/3

AC²=DC*BC

10²=DC*12

100=DC*12

DC=100/12= 25/3

Answer 2

ΔABC dreptunghic in A 
BC = 12cm
AC=10cm
AB=4cm.
AD_|_ BC, D ∈ BC.

AC²= DC·BC
10²=12DC
DC= 100/12 => DC = 25/3 cm.

AB²= 12BD
 16=12BD
BD= 16/12
BD=4/3cm