Question

Given: XY ≅ YZ ≅ ZX Prove: The Perimeter of (Triangle) XYZ is 3 times XY?

Answer 1

As proved below.

Explanation:

Let the sides of the triangle be `YZ = x, XZ = y, XY = z`

Perimeter of a triangle `P = x + y + z`

Given `x ~= y ~= z`

`:. P = x + y + z = x + x + x = 3x`