Answer
a. acute
b. right
c. obtuse
Work Step by Step
a. 4$^{2}$+5$^{2}$___ 6$^{2}$
16+25____ 36
41$\gt$36, this inequality proves that it is an acute triangle.
b. 3$^{2}$+4$^{2}$___ 5$^{2}$
9+16____ 25
25=25, this equality proves that it is a right triangle.
c.10$^{2}$+15$^{2}$___ 20$^{2}$
100+225____ 400
325$\lt$400, this inequality proves that it is an obtuse triangle.
