Răspuns:
[tex]\frac{a}{7}= \frac{b}{24}=\frac{c}{25}=k,~unde~k~este~coeficientul~de~proportionalitate\\Deci~a=7k,~b=24k,~c=25k.\\a^{2}+ b^{2}=(7k)^{2}+(24k)^{2}=7^{2}*k^{2}+24^{2}*k^{2}=(7^{2}+24^{2})*k^{2}=(49+576)*k^{2}=625*k^{2}=25^{2}*k^{2}=(25k)^{2}=c^{2}\\b) a+b-c=0,6\\7k+24k-25k=0,6,~6k=0,6,~k=0,6:6=0,1\\Deci~a=7*0,1=0,7;~b=24*0,1=2,4;~c=25*0,1=2,5.[/tex]
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