Question

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

Answer 1

Answer:

Let one side of a triangle be x

then the corresponding side of this new triangle is 2x because it is doubled

sides of new triangle and given triangle are in proportion

∴given triangle is similar to new triangle

new triangle and the given triangle are similar triangles.

by using area of similar triangles theorem,

area of new triangle/area of given triangle=(2x/x)²

                                                                  =4x²/x²

                                                                  =4/1

∴ratio of area of new triangle and the given triangle=4:1