* tri - This syllable is open because the vowel sound "i" is followed by a consonant "r" and then ends in a vowel "e".
* an - This syllable is open because the vowel sound "a" is followed by a consonant "n".
* gle - This syllable is open because the vowel sound "e" is followed by a consonant "l" and then ends in a vowel "e".
Therefore, there are three open syllables in the word "triangle".