Question

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

Answer 1

Answer: 4:1 ratio

Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:

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

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