sinB / AC = sinC / AB sin30 / AC = sin90 / 20 (1/2) / AC = 1 / 20 AC = 20 * 1/2 AC = 10 cm
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BC :
SinA / BC = sinC / AB sin 180 - (90+30) / BC = 1 / 20 sin60 / BC = 1 / 20 (1/2√3) / BC = 1 / 20 BC = 10√3 cm
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AD :
sin D / AB = sin B / AD sin (180 - 45) / 20 = sin30 / AD sin 135 / 20 = (1/2) / AD (1/2√2) / 20 = (1/2) / AD 1/2√2 AD = 10 AD = 10 / (1/2√2) AD = 20 / √2 AD = 20 / √2 * √2 / √2 AD = 10√2 cm
sinB / AC = sinC / AB
sin30 / AC = sin90 / 20
(1/2) / AC = 1 / 20
AC = 20 * 1/2
AC = 10 cm
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BC :
SinA / BC = sinC / AB
sin 180 - (90+30) / BC = 1 / 20
sin60 / BC = 1 / 20
(1/2√3) / BC = 1 / 20
BC = 10√3 cm
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AD :
sin D / AB = sin B / AD
sin (180 - 45) / 20 = sin30 / AD
sin 135 / 20 = (1/2) / AD
(1/2√2) / 20 = (1/2) / AD
1/2√2 AD = 10
AD = 10 / (1/2√2)
AD = 20 / √2
AD = 20 / √2 * √2 / √2
AD = 10√2 cm