SOLUTION: Triangle ABC is congruent to triangle DFE. Find x. triangle ABC, side AB measures 10, side BC measures 20 and side CA measures 12, triangle DFE, side DF measures one-half x plu

Algebra ->  Triangles -> SOLUTION: Triangle ABC is congruent to triangle DFE. Find x. triangle ABC, side AB measures 10, side BC measures 20 and side CA measures 12, triangle DFE, side DF measures one-half x plu      Log On


   



Question 1082510: Triangle ABC is congruent to triangle DFE. Find x.
triangle ABC, side AB measures 10, side BC measures 20 and side CA measures 12, triangle DFE, side DF measures one-half x plus 2
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Answer by gsmani_iyer(201) About Me  (Show Source):
You can put this solution on YOUR website!
Since triangle ABC & triangle DFE are congruent, their corresponding sides should also be congruent. So,
m(AB) = m(DE) = 10. So,
m(DE) = 10 = 1%2F2x+2. So,

10-2 = 1%2F2x+2-2
8 = 1%2F2x
x = 8*2
x = 16 units. Answer. If you have any doubt, feel free to mail gsmani9@yahoo.com.
God bless you.