Answer:
The perimeters of similar triangles are always in the same ratio as the corresponding sides.
Step-by-step explanation:
The perimeter of triangle is sum of all the sides of the triangle.
Let we have two similar triangles with a scale factor s
Therefore, if sides of one triangle are a,b, and c
then the sides of the second triangle are given by : as, bs, and cs
Now, perimeter of first triangle, P = a + b + c
Perimeter of second triangle, Q = sa + sb + sc
⇒ Q = s × (a+ b+ c)
⇒ Q = s × P
Hence, The perimeters of similar triangles are always in the same ratio as the corresponding sides.
Therefore, the correct answer is ALWAYS
