Question

Use the SSS similarity postulate to explain why all equilateral triangles are similar. Be sure to relate the postulate to the definition of equilateral triangles.

Answer 1

let's say we had 2 equilateral triangles

first one has side lengths of 10

second one has side lengths of 20

Answer 2

since all sides are the same (for each triangle), we can form ratios and we would get 20/10 = 2 if we divided up the corresponding sides

so this means that the second triangle is twice as big as the first one, which means that the two triangles are similar