Question

Which set of side lengths shows similar triangles?
Answer

Triangle ABC : 32, 20, 32; Triangle XYZ: 30, 16, 16

Triangle ABC : 110, 80, 60; Triangle XYZ: 6, 8, 5.5

Triangle ABC : 40, 20, 50; Triangle XYZ: 10, 12.5, 10

Triangle ABC : 30, 30, 60; Triangle XYZ: 15, 15, 30

Answer 1

similar triangles will have the same ratio of sides

Answer 2

for example:

ABC = 3,4,5 XYZ = 6,8,10

then \(\dfrac{ABC}{XYZ}=\dfrac{3,4,5}{6,8,10}=\dfrac{1}{2},\dfrac{1}{2},\dfrac{1}{2}\)

Answer 3

or if the numbers are simple enough, one will be a scalar of the other