Question

3. A ABC ~A ZYX. If AB = 3 cm, BC = 5 cm,
CA = 6 cm and XY = 6 cm, find the perimeter
of A XYZ. .​

Answer 1

Key Point:-

The ratio of corresponding sides of similar triangles are equal...

Solution:-

Here, ∆ABC ~ ∆ZYX

or, AB/ZY = BC/YX = CA/XZ

or, 3/ZY = 5/6

or, ZY = 18/5 cm

and; 5/6 = 6/XZ

or, XZ = 36/5 cm

Perimeter of ∆XYZ = XY+YZ+ZX

= 6+18/5+36/5

= 84/5 cm