a = 9
Step-by-step explanation:
The sides of one othe triangle: 2, 4, 6
The sides of the other triangle are: 3, 6, ?
For two triangles to be similar, the ratio of their corresponding sides are equal:
ratio = 2/3 = 4/6 = 6/?
4/6 = 2/3
Each of the ratio shpould give 2/3
let the unknown = a
4/6 = 6/a
2/3 = 6/a
cross multiply:
3(6) = 2(a)
18 = 2a
18/2 = 2a/2
a = 9
Checking our answer: 6/9 = 2/3
Hence, the missing side is 9
if the sides of one triangle are links 2, 4, and 6 and another triangle has sides of lengths 3, 6 __9__,then the triangles are similar.