Problemi con il secondo teorema di Euclide:
(127)
ⓐ
$AH= 6,3~cm$;
$HB= 11,2~cm$.
$CH= \sqrt{6,3~×11,2} = 8,4~cm$.
ⓑ
$AB= 50~cm$;
$AH= 18~cm$;
$BH= 50-18 = 32~cm$;
$CH= \sqrt{18~×32} = 24~cm$.
(128)
ⓐ
$AH= 36~cm$;
$CH= 48~cm$;
$HB= \frac{48^2}{36} = 64~cm$.
ⓑ
$CH= 24~cm$;
$AH= 18~cm$;
$BH= \frac{24^2}{18} = 32~cm$;
$AB= 18~+32 = 50~cm$.
127.1
CH = √AH*BH = √6,3*11,2 = 8,40 cm
127.2
CH = √(AB-AH)*AH = √(50-18)*18 = 24 cm
128.1
HB = CH^2/AH = 48^2/36 = 64 cm
128.2
BH = CH^2/AH +AH = 24^2/18+18 = 50 cm