Question

The given triangles ∆ABC and ∆XYZ are similar, find the length of the side XY.

• A. 8 cm
• B. 10 cm
• C. 12 cm
• D. 14 cm

Answer 1

The correct option is B 10 cm

∆ABC and ∆XYZ are similar
In ∆ABC, AB = 5 cm, BC = 4 cm
CA = 3 cm
In ∆XYZ, XY = ? cm, YZ = 8 cm
ZX = 6 cm
$\frac{AB}{XY}=\frac{BC}{YZ}=\frac{CA}{ZX}$ (side ratio)
$\frac{5}{XY}=\frac{4}{8}=\frac{3}{6}=\frac{1}{2}$
$XY=10$ cm