SOLUTION: Given two similar triangles - ABCDEF, determine the measurement of the unknown sides. AB = 8cm DF = 10cm A = D = 60° AC = 12cm EF = 9cm

Algebra ->  Triangles -> SOLUTION: Given two similar triangles - ABCDEF, determine the measurement of the unknown sides. AB = 8cm DF = 10cm A = D = 60° AC = 12cm EF = 9cm      Log On


   

Question 1173047: Given two similar triangles - ABCDEF, determine the measurement of the unknown sides.
AB = 8cm
DF = 10cm
A = D = 60°
AC = 12cm
EF = 9cm
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Given two similar triangles - ABCDEF, determine the measurement of the unknown sides.
AB = 8cm
DF = 10cm
A = D = 60°
AC = 12cm
EF = 9cm
:
the ratios of corresponding sides are equal
AC corresponds to DF: 12/10 = 1.2
AB corresponds to DE
8/DE = 1.2
1.2DE = 8
DE = 8/1.2
DE = 62%2F3
And
BC corresponds to EF
BC/9 = 1.2
BD = 1.2*9
BD = 10.8