Answer
obtuse
Work Step by Step
Comparing the square of the longest side to the sum of the squares of the other two sides will tell you if a triangle is obtuse, acute, or right.
If $c^{2}$$\gt$$a^{2}$+$b^{2}$, then the triangle is obtuse
If $c^{2}$$\lt$$a^{2}$+$b^{2}$, then the triangle is acute
If $c^{2}$$=$$a^{2}$+$b^{2}$, then the triangle is right
Substitute in the greatest value in for c, which is 3.
Substitute the other two values, 2 and $\sqrt 3$, in for a and b.
$c^{2}$$\square$$a^{2}$+$b^{2}$
$3^{2}$$\square$$2^{2}$+$(\sqrt 3)^{2}$
9$\square$4+3
9$\square$7
9$\gt$7
Since $c^{2}$$\gt$$a^{2}$+$b^{2}$, the triangle is obtuse
