Question

if each side of a triangle is doubled , then find the ratio of area of a new triangle thus formed and the given triangle .​

Answer 1

Answer:

let :- lenght of side of small triangle- x,y,z

so length of side of small triangle -2x,2y,2z

x/2x = 1/2

y/2y = 1/2

z/2z = 1/2

x/2x = y/2y = z/2z___________________1

by equation 1, small triangle is similar to big triangle ...

(small triangle) / (big triangle) = (x/2x)^2

= (1/2)^2

= 1/4

Ans:-

small triangle : big triangle =1:4