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t/r = sin 60
r = t/sin 60 = 30/(1/2 √3)= 60/√3= (20/3)√3
4. tan 30 = t/7.200
t = 7.200 . tan 30
t = 7.200 x (1/3 √3)= 2.400 √3
3.
cos 45 = AD/AB
AB = AD/ cos 45 = (6√2)/ ( 1/2 √2) = 6/(1/2) = 12
tan 60 = AC/AB
AC = AB. tan 60 = 12 (√3) = 12√3
2.
sin 60 = AB/AD
AB = AD. sin 60
AB = 24√2 ( 1/2 √3) = 12√6
sin 45 = AB/AC
AC = AB/ sin 45
AC = (12√6)/ (1/2 √2)
AC = 24 √3
1)
tan 45 = AC/AB
1 = AC/AB
AC =AB
2x-1 = x+ 4
x = 5
AC = 2x -1 = 9
sin 45 = AC/BC
BC = AC/ sin 45
BC = 9/(1/2 √2) = 18/√2 = 9√2