actually with the changes to the point per badge rate last week..they are the same now.. so yeh youll be able to use triumph badges to buy t10 gear since the rate for triumph/frost are the same.
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Both Frost and Triumph badges have been changed to convert to JP at 11.58 points per. That makes 1 Triumph badge = 1 Frost badge. This means that in order to have enough to buy the complete T10 (according to PTR values):....

Tier 10 Helm - 1100
Tier 10 Gloves - 695
Tier 10 Chest - 1100
Tier 10 Legs - 1100
Tier 10 Shoulders - 695

Total - 4690 (or 4690/11.58 ~ 406 (stupid rounding errors))...the difference is, that will be 406 of ANY COMBINATION (Frost or Triumph).