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Triangle ABC is congruent to triangle DEF. In triangle ABC, side AB measures 9, side BC measures 3x+1, and side CA measures 7. In triangle DEF, side DE measures 9, side EF measures 2x+2, and side FD measures 7. What equation would help you to solve for the side length of BC and EF? Explain your reasoning using complete sentences.

Answer :

HomertheGenius
If those triangles are congruent than measures of the sides of ABC and DEF are equal:
AB = DE = 9;
AC = DF = 7
and :  BC = EF
The equation is :  3 x + 1 = 2 x + 2
3 x - 2 x = 2 - 1
x = 1
BC = EF = 4

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