Question

ΔXYZ is enlarged to ΔX'Y'Z'. If XY = 12cm, YZ = 8cm and XZ = 14cm and the smallest side of ΔX'Y'Z' is 12cm, find the scale factor and use it to find the length of the other sides of the image ΔX'Y'Z'.

Answer 1

Scale factor =`"Image length"/"Actual length"`

Scale factor = `(12)/(8)` = 1.5

`"X'Y'"/"XY"` = 1.5

⇒ X'Y' = 1.5 x 12
⇒ X'Y' = 18cm

`"X'Z'"/"XZ"` = 1.5

⇒ X'Z' = 1.5 x 14
⇒ X'Z' = 21cm.