5dregensleyer
Pqs = qsr = 60 psq = 180 - 45 - 60 = 75 p/sin p = q/ sin q p/ sin 45 = 8√2/sin 60 8√2 x sin 45 = p x sin 60 8√2 x √2/2 = p x √3/2 8√4/2 = √3/2 p 8 = √3/2 p 8 : √3/2 = p 8 x 2/√3 = p 16/√3 = p --------> rasionalkan 16√3/3 = p Selanjutnya mencari QR s/sin s = r/sin r s x sin r = r x sin s s x sin 30 = 16√3 / 3 x sin 60 s x 1/2 = 16√3/3 x √3/2 1/2 s = 16√9/6 1/2 s = 48/6 s = 48/6 x 2 s = 16 cm
= 60
psq = 180 - 45 - 60
= 75
p/sin p = q/ sin q
p/ sin 45 = 8√2/sin 60
8√2 x sin 45 = p x sin 60
8√2 x √2/2 = p x √3/2
8√4/2 = √3/2 p
8 = √3/2 p
8 : √3/2 = p
8 x 2/√3 = p
16/√3 = p --------> rasionalkan
16√3/3 = p
Selanjutnya mencari QR
s/sin s = r/sin r
s x sin r = r x sin s
s x sin 30 = 16√3 / 3 x sin 60
s x 1/2 = 16√3/3 x √3/2
1/2 s = 16√9/6
1/2 s = 48/6
s = 48/6 x 2
s = 16 cm
jawabannya C