Question

Triangle ABC is congruent to Triangle DEF with AB = 2x+6, and DE = 5x-12. What is the length of DE?

Answer 1

Explanation:

ΔABC ≅ ΔDEF

So, DE = AB

5x - 12 = 2x + 6

5x = 2x + 6 +12

5x = 2x +18

5x - 2x = 18

3x = 18

x = 18/3

x = 6

DE = 5x - 12 = 5*6 - 12

= 30 - 12

DE = 18