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a+b=30-13=17==> a=17-b
a²+b²=169
(17-b)²+b²=169
289+2b²-34b=169 /:2
b²-17b+60=0
b=5 lub b=12
a=12 lub a =5
sinα=12/13
sinβ=5/13
ale w zadaniu chyba chodzi o boki pozostałe więc 12 i 5cm.