Question

In figure de || bc . if bd = x-3 and ab = 2x ce =x-2 and ac =2x+3. Find x

Answer 1

Step-by-step explanation:

by Thales theorem,

AB/BD=AC/CE

2x/x-3 = 2x+3/x-2

2x(x-2) = 2x+3(x-3)

2x²-4x = 2x²-6x+3x-9

-4x = -3x-9

-4x+3x = -9

-x = -9

x=9

Answer 2

Answer:

by SSS test of similarity

Step-by-step explanation:

In triangle ABC and triangle PQR

AB/PQ= 6/3= 2

BC/QR= 8/4= 2

AC/PR= 10/5= 2

by SSS test of similarity

therefore, triangle ABC and triangle PQR.