Answer:
a - yes
b - no
Explanation:
triangle inequality theorem - the sum of any 2 sides of a triangle must be greater than the measure of the third side
For a
5 + 4 must be greater than 7 for the set to be measures of the sides in a triangle
5 + 4 = 9
9 is greater than 7 therefore 4,5, and 7 can be measures of the sides in a triangle
For b
3 + 2 must be greater than 6 in order for the set to be measures of the sides in a triangle
3 + 2 = 5
5 is less than 6 therefore 2,3 and 6 can not be measures of the sides in a triangle