While I believe that both answers provided actually answer your question, there is still some information you may find relevant to the issue.
First, the fact that the modern Russian T is homoglyphic to the Latin T should not confuse you. @yellowsky has provided an image of T as it was shaped earlier, before Peter I's reforms. Actually, this is almost the end of the evolution of this letter.
Here's a quote from Wikipedia:
В славянской письменности буква Т имела несколько разновидностей
начертания: наряду с обычным т-образным рано возникло трёхногое
m-образное; в старопечатных украинских книгах обнаруживается тенденция
к орфографическому разграничению этих начертаний (впрочем, до
полностью формализованного и обязательного правила не дошедшая). А
именно, т писали в начале слов, а m — в середине; но если слово было
не славянским, а заимствованным, то и в середине слова ставили т.
Сверх того существовало и «высокое» начертание этой буквы, похожее на
цифру «7»
Short summary: the three-legged shape happily existed and even co-existed with the one-legged form. In old Ukrainian books one can find that the т-form had been used in initial positions, while m - in the middle of words (except loan-words).
Going even further, there is some evidence that Cyrillic script was at least heavily influenced by (if not a direct ancestor of) the Glagolitic alphabet, and here's what Glagolitic t looked like:
In the Macedonian language, for example, the letter T is still written as:
See, it's basically an inverted form (compared to Russian) with an additional line above - in order to differentiate it from ш.
So, actually this three-leggedness is quite common in Cyrillic scripts and quite an old story.
л
it's oftenʌ
, even on official things like roadsigns. There's a couple of others too, but I agree it's getting a bit off topic (-;