Question

How do the perimeters of the triangles compare? Original: height-18, slant-30, length-24 Scaled: height-6, slant-10, length-8 A) the scaled triangles perimeter is 3x's larger than the original triangles perimeter. B) the scaled triangles perimeter is 6x's smaller than the original triangles perimeter C) the scaled triangles perimeter is 1/9 the size of the original triangles perimeter D) the scaled triangles perimeter is 1/3 the size of the original triangles perimeter

Answer 1

D) the scaled triangles perimeter is 1/3 the size of the original triangles perimeter

Explanation:

Given

Original:

`Height = 18, Slant = 30, Length =24`

Scaled:

`Height =6, Slant=10, Length=8`

Looking at the dimension of both triangles, The relationship between the original and the scaled copy is:

`Scaled = (1)/(3) * Original`

Hence, the perimeter is:

`Perimeter (Scaled) = (1)/(3) * Perimeter (Original)`