if each side of a triangle is halved , then its perimeter will be decreased by what per cent - Math - Triangles

Question

if each side of a triangle is halved , then its perimeter will
be decreased by what per cent ?

Manbar Singh · Accepted Answer

Let a,b and c are the original sides of the ∆
Now,perimeter of the ∆, P = a + b + c
When each of the sides of ∆ is halved, then new sides are :a' = a2  ; b' = b2  ; c' = c2New perimeter, P' = a2 + b2 + c2 = a+b+c2Decrease in perimeter = P - P' = a+b+c-a+b+c2=a+b+c2Decrease % = decreaseoriginal perimeter×100% = a+b+c2a+b+c×100% = 50%

if each side of a triangle is halved , then its perimeter will be decreased by what per cent ?