#### 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 0.6.
Substitute the other two values 0.3 and 0.4 in for a and b
$c^{2}$$\square$$a^{2}$+$b^{2}$
$0.6^{2}$$\square$$0.3^{2}$+$0.4^{2}$
0.36$\square$0.09+0.16
0.36$\square$0.25
0.36$\gt$0.25
Since $c^{2}$$\gt$$a^{2}$+$b^{2}$, the triangle is obtuse