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c=przeciwprostokatna
a+b+c=60
a:b=3:4
4a=3b
a=¾b
¾b+b+c=60
⁷/₄b+c=60
c=60-⁷/₄b
a²+b²=c²
(¾b)²+b²=(60-⁷/₄b)²
⁹/₁₆b²+b²=3600-210b+⁴⁹/₁₆b²
-²⁴/₁₆b²+210b-3600=0
Δ=b²-4ac=44100-21600=22500
√Δ=150
b₁=(-b-√Δ):2a=(-210-150):-3=120 odpada, bo za duża liczba
b₂=(-210+150):-3=20
b=20cm
a=¾b=¾×20=15cm
c=60-⁷/₄×20=60-35=25
spr. 20²+15²=25²
400+225=625
625=625
20+15+25=60