Given two similar triangles with a scale factor of a : b, show the ratio of their perimeters is also a : b?
1 Answer
Sep 17, 2016
Suppose two triangles
As the perimeter of a triangle is equal to the sum of the lengths of its sides, we have the perimeter
=SB_1+SB_2+SB_3
=S(B_1+B_2+B_3)
=SP_B
Thus the ratio of the perimeters is the same as the ratio of the sides, that is, of the scale factor between the triangles.