Question

Two triangles are similar and have sides of 4, 6, 10 and 6, 9, 15. What is the ratio of similarity between the two triangles?

Answer 1

Similarity ratio is
`(2)/(3)`

Step-by-step explanation:

Assume that:

The first triangle is ABC where:

AB = 4 units, BC = 6 units and AC = 10 units

The second triangle is DEF where:

DE = 6 units, EF = 9 units and DF = 15 units

Now, we are given that the two triangles are similar, this means that the corresponding sides are similar.

Therefore:

similarity ratio =
`(AB)/(DE) = (BC)/(EF) = (AC)/(DF)`

Now, we substitute with the values given and simplify any of them to get the similarity ratio as follows:

similarity ratio:
`(4)/(6) = (6)/(9) = (10)/(15)` =
`(2)/(3)`

Hope this helps :)