Answer
acute
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 4.
Substitute the other two values, $\sqrt 11$ and $\sqrt 7$, in for a and b.
$c^{2}$$\square$$a^{2}$+$b^{2}$
$4^{2}$$\square$$(\sqrt 11)^{2}$+$(\sqrt 7)^{2}$
16$\square$11+7
16$\square$18
16$\lt$18
Since $c^{2}$$\lt$$a^{2}$+$b^{2}$, the triangle is acute
