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problema 26 va rog frumos.

Problema 26 Va Rog Frumos class=

Răspuns :

tgB=AC/AB
3/4=AC/AB
AB=4AC/3

BC²=AC²+AB²
15²=AC²+16AC²/9
225=AC²+16AC²/9
225=25AC²/9
AC²=81
AC=9
AB=4·9/3=4·3=12

P=AB+BC+AC=9+12+15=36

sinB=AC/BC=9/15=3/5
cosB=AB/BC=12/15=4/5
ctgB=AB/AC=9/12=4/3