Question

please answer it with full process.​

Answer 1

Answer:

In triangle DEF and XYZ,

angle E = angle Y. given

angle D = angle X. given

triangle DEF ~ triangle XYZ. (AngleAngle test of similarity)

triangle DEF ~ XYZ

DE/XY = EF/YZ = DF/XZ. (c.s.s.t.)

10/XY = 6/12 = 8/XZ

10/XY = 6/12

XY = 10×12/6

XY = 20cm

Similarly,

6/12 = 8/XZ

XZ = 8 × 12/6

XZ = 16cm.

XZ = x = 16cm

XY = y = 20cm

Step-by-step explanation:

Please do check the calculations.