Răspuns:
a)AB=28cm; AC=21cm
b) DC=19,2cm; AC=24cm
c)BD=0,135m; AB=0,225m
Explicație pas cu pas:
----------------------------------------rezolvare a)----------------------------------------
calculam BC
BC=BD+DC=12,6+22,4=35cm
TEOREMA CATETEI:
AC²=DC*BC
[tex]AC=\sqrt{DC*BC} = \sqrt{22,4*35} =28cm[/tex]
TEOREMA CATETEI:
AB²=BD*BC
[tex]AB=\sqrt{BD*BC} = \sqrt{12,6*35} =21cm[/tex]
----------------------------------------rezolvare b)----------------------------------------
TEOREMA CATETEI:
AB²=BD*BC
324=10,8*BC
BC=30cm
BC=BD+CD
CD=BC-BD
CD=30-10,8=19,2cm
TEOREMA CATETEI:
AC²=DC*BC
[tex]AC=\sqrt{DC*BC} = \sqrt{19,2*30} =24cm[/tex]
----------------------------------------rezolvare c)----------------------------------------
[tex]BC=\frac{3}{8} =0,375m[/tex]
TEOREMA CATETEI:
AC²=DC*BC
0,09=CD*0,375
CD=0,09:0,375
CD=0,24m
BC=CD+BD
BD=BC-CD=0,375-0,24=0,135m
TEOREMA CATETEI:
AB²=BD*BC
[tex]AB=\sqrt{BD*BC} = \sqrt{0,135*0,375} =0,225m[/tex]
