Answer:
the correct choice is marked
Step-by-step explanation:
The lengths will form a right triangle if the squares of the two shortest legs total the square of the longest. The square of a root is the number under the radical, so you're looking to see if the two smallest numbers under the radicals total the largest number under the radical.
A: 22 +88 = 110 . . . . . a right triangle
B: 66 +99 = 165 ≠ 176 . . . . an obtuse triangle
C: 22 +110 = 132 ≠ 121 . . . . an acute triangle
D: 66 +77 = 143 ≠ 154 . . . . an obtuse triangle
_____
Additional comment
The largest angle is opposite the longest side. If the longest side is too long for the triangle to be a right triangle, then the opposite angle is larger than 90°, and the triangle is obtuse. If the longest side is too short for a right triangle, then the triangle is acute.
