Question

fie triunghiul greptunghic ABC cu m(A)=90 de grade m (B)=60 de grade stiind ca mediana [AD] are lungimea de 6 cm aflati AB si BC

Answer 1

AD mediana => BD=DC=AC =>
BD=6 cm
DC=6 cm

BC=BD+DC<=>
<=>BC=6+6<=>
<=>BC=12 cm

TriunghiABCdreptunghic, m(A)=90grade => catpatrat=pr•ip<=>
<=>ABpätrat=BC•BD<=>
<=>ABpätrat=12•6|radical<=>
<=>radicalABpatrat=radical72<=>
<=>AB=radical72<=>
<=>AB=2radical6

Raspuns:
AB=2radical6
BC=12 cm