Question

Which set of side lengths could form a triangle similar to a triangle with side lengths 11, 15, and 22?

22, 26, 33

22, 30, 42

33, 44, 66

33, 45, 66

Answer 1

similar triangles mean that the proportion of the sides are the same

Answer 2

Do u know anything about the theorem of Thales?

Answer 3

or another way to think about it is
the 2 triangles have some factor between them
like triangle A = 2* trianble B

Answer 4

so which one of those numbers given to you can you get by multiplying those 3 numbers of the given triangle by some number

Answer 5

11C,15C,22C = some other 3 numbers

Answer 6

lets check... what if u multiply by 2
22,30,44

Answer 7

is that in there?

Answer 8

nope its not one of your choices
so lets try multiplying by 3
11C,15C,22C = some other 3 numbers
so C = 3 now can u solve it

Answer 9

Take the first number in each of your answer choices and divide by the corresponding number from the original triangle. That's the tentative ratio. Multiply the other numbers from the original triangle by the tentative ratio. If the whole set matches the answer key, you're done.