Răspuns :
Notam c1 si c2 catetele si i ipotenuza :
Perimetrul=c1+c2+i
c1-c2=6 =>c1=6+c2
P=6+c2+c2+30
P=2c2+36P=2(c2+18)
Teorema lui Pitagora spune ca c1²+c2²=900
(6+c2)²+c2²=900
36+12c2+c2²+c2²=900
2c2²+12c2-864=0 l:2
c2²+6c2-432=0
Δ=36+4·432
Δ=36+1728
Δ=1764 =>√Δ=42 => c2 este 18, respectiv -24
=>c2=18 cm (nu se ia in considerare valoarea negativa)
=>c1=24
=>P=24+18+30
=>P=72 cm
Perimetrul=c1+c2+i
c1-c2=6 =>c1=6+c2
P=6+c2+c2+30
P=2c2+36P=2(c2+18)
Teorema lui Pitagora spune ca c1²+c2²=900
(6+c2)²+c2²=900
36+12c2+c2²+c2²=900
2c2²+12c2-864=0 l:2
c2²+6c2-432=0
Δ=36+4·432
Δ=36+1728
Δ=1764 =>√Δ=42 => c2 este 18, respectiv -24
=>c2=18 cm (nu se ia in considerare valoarea negativa)
=>c1=24
=>P=24+18+30
=>P=72 cm