alfa = 45 st
beta = 30 st
a = 10 cm
Z tw. Sinusów mamy
a/ sin alfa = b/ sin beta
10/ sin 45 = b / sin30 st
10 / [ p(2)/2] = b / (1/2)
10* [ 2 / p(2) ] = 2 b
10 p(2) = 2 b / : 2
b = 5 p(2)
b = 5 p(2) cm
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gamma = 180 st - ( 45 + 30 ) st = 180 st - 75 st = 105 st
sin gamma = sin 105 st = sin ( 90 + 15) st = cos 15 st = [ p(6) + p(2)]/4
oraz
c / sin gamma = b/ sin 30 st
c / [( p(6) + p(2))/4] = 5 p(2) / (1/2)
4 c/ [ p(6) = p(2) ] = 10 p(2)
4 c = 10 p(2) *[ p(6) + p(2)]
4 c = 10 p(12) + 10 *2
4 c = 10 *p(4)*p(3) + 20
4 c = 20 p(3) + 20 / : 4
c = 5 p(3) + 5
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Mamy też
a/ sin alfa = 2 R
10 / sin 45 st = 2 R
10 / p(2)/2 = 2 R
20 / p(2) = 2 R
10 p(2) = 2 R / : 2
R = 5 p(2)
R = 5 p(2) cm
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