Answer:
Q2
Ratios of corresponding sides are equal:
- DE/AB = DC/AC
- DE/40 = 15/(15 +9)
- DE = 40*15/24
- DE = 25
Q3
Ratios:
- AD/BD = BD/DC
- AD*DC = BD²
- 16*(20 - 16) = BD²
- 64 = BD²
- 8 = BD
Q4
If ΔABC ~ ΔXYZ, the ratios below should be equal:
- AC/XZ = BC/YZ
- 10/15 = 18/24
- 2/3 = 3/4
Ratios are different so the triangles are not similar
