x
x+21
ipotenuza= 2x+21
cateta₁²=x(2x+21) =2x²+21x
cateta₂²=(x+21)(2x+21)=2x²+42x+21x+441=2x²+63x+441
cateta₁/cateta₂ =3/4 cateta₁²/cateta₂² =9/16
16( 2x²+21x)=9(2x²+63x+441)
32x²+336x=18x²+567x+3969
14x²-231x-3969=0
2x²-33x-567=0
2x²-54x+21x-567=0
2x(x-27)+21(x-27)=0
(x-27)(2x+21)=0
x-27=0
x=27
27+21=48
ipotenuza= 27+48=75 cm
h=√27x48=√3³x2⁴x3=3²x2²=9x4=36
cateta₁ =√27x75=√3³x3x5²=45
cateta₂ =√48x75=√2⁴x3x3x5²=2²x3x5=60
