t.înălțimii : h^2 = p1•p2 (proiecțiile)
a)p1p2=144
p1+p2=25 =>p1=25-p2
p2 (25-p2) = 144
(p2)^2 - 25p2 + 144 = 0
delta = 625-576 = 49 => rad.delta = 7
p2=(25-7)/2=9 =>p1=16
sau
p2=(25+7)/2=16 =>p1=9
b)p1p2=144
p1+p2=26 =>p1=26-p2
p2 (26-p2) = 144
(p2)^2 - 26p2 + 144 = 0
delta = 676-576 = 100 => rad.delta = 10
p2=(26-10)/2=8 =>p1=18
sau
p2=(26+10)/2=18 =>p1=8
c)p1p2=144
p1+p2=74 =>p1=74-p2
p2 (74-p2) = 144
(p2)^2 - 74p2 + 144 = 0
delta = 5476-576 = 4900 =>rad.delta = 70
p2=(74-70)/2=2 =>p1=72
sau
p1=(74+70)/2=72 =>p1=2
