D and E are points on sides AB and AC respectively of triangle ABC such that DE || BC. If AD = x-1, DB = x – 3, AE = x + 3 and E

Question

3 years ago

11

C = x , the value of x is:

1 answer:

levacccp [35] · Answer 1 · 2022-11-07T10:02:37+03:00

3 0

9514 1404 393

Answer:

9

Step-by-step explanation:

The triangles are similar, so corresponding sides are proportional.

AE/AD = EC/DB

(x+3)/(x -1) = x/(x -3)

x^2 -9 = x^2 -x . . . . . . . cross multiply

x = 9 . . . . . . . . . . . add x+9-x^2 to both sides