Question

dau coroana......... ​

Answer 1

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

$AC=\sqrt{DC*BC} = \sqrt{22,4*35} =28cm$

TEOREMA CATETEI:

AB²=BD*BC

$AB=\sqrt{BD*BC} = \sqrt{12,6*35} =21cm$

----------------------------------------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

$AC=\sqrt{DC*BC} = \sqrt{19,2*30} =24cm$

----------------------------------------rezolvare c)----------------------------------------

$BC=\frac{3}{8} =0,375m$

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

$AB=\sqrt{BD*BC} = \sqrt{0,135*0,375} =0,225m$