Triangles ABC=DEF SOLVE FOR X

Question

AB IS 6 AND DE IS y-3

AC IS 13 DF IS 2z+3

BC IS 10 EF IS x

Answer 1

Congruent triangles means that the corresponding sides and angles are equal in measure.  Knowing this, we can write equations.

 

 

AB corresponds to DE.

 

6 = y - 3

 

Solve for y from this equation.

 

 

 

AC corresponds to DF.

 

13 = 2z + 3

 

Solve for z from this equation.

 

 

BC corresponds to EF.

 

10 = x