Question

Suppose you have triangle ABC with AB = 5, BC = 7, and CA = 10, and also triangle EFG with EF = 900, FG = 1260, and GE = 1800. Are these triangles similar, and if so, what is the scale factor?

Answer 1

`DeltaABC` and `DeltaEFG` are similar and scale factor is `1/180`

Explanation:

`color(white)(xx)5/900=7/1260=10/1800=1/180`
`=>(AB)/(EF)=(BC)/(FG)=(CA)/(GE)`
Therefore `DeltaABC` and `DeltaEFG` are similar and scale factor is `1/180`.