Question

In triunghiul dreptunghic ABC m(A) AD_|_ BC D€(BC) se cunoaste BC =29CM SI AC =21CM.Calculati lungimile segmentelor [AB] [BD] [CD] si [AD]

Answer 1

B
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A___________C
t.catetei AC^2 = DC×BC
441=DC×29 => DC=15,2 cm => BD=13,8 cm
t.inaltimii AD^2 = BD×DC
AD^2=13,8×15,2 => AD=14,5 cm
AB^2=BC^2-AC^2
AB^2=29^2-21^2
AB^2=(29-21)(29+21)
AB^2=8×50=400 => AB=20 cm