First use pythagorus theorem to determine if the triangle is a pythagorus triple
It is a right acute angle if the triangle is a pythagorus triple.
The sum of square of opposite and square of adjacent must be equal to square of hypotanuse, then the triangle is pythagorus triple.
Hypotanuse is the longest side = 15
others are opposite and adjacent
[tex]\begin{gathered} \text{opposite}^2+adjacent^2^{} \\ =14^2+12^2 \\ =\text{ 196 + 144} \\ =\text{ 340} \\ \text{Hypotanuse}^2=15^2\text{ = 225} \\ \text{opposite}^2+adjacent^2\text{ }\ne hypotanuse^2 \\ \text{The triangle is not right acute angle.} \\ \text{Hence, it is an obtuse angle triangle} \end{gathered}[/tex]
