Answer: option A is the correct answer
Step-by-step explanation:
The set of line segments that can be used is the one such that, its longest side is lesser than the semi perimeter,s[s=(a+b+c)/2] of the triangle.
If we apply this condition on the given line segments,
A) 2 cm, 8 cm, and 9 cm
s = (2+8+9)/2 = 9.5
9.5 is greater than 9cm
B) 3 cm, 6 cm, and 2 cm
s = (3+6+2)/2= 5.5
5.5 is lesser than 6. If we go on to look for the area using
Area = √s(s-a)(s-b)(s-c), it would be impossible because we would end up having square root of a negative number.
C) 5 cm, 9 cm, and 3 cm
s = (5+9+3)/2 = 8.5
8.5 is lesser than 9cm
If we go on to look for the area using
Area = √s(s-a)(s-b)(s-c), it would be impossible because we would end up having square root of a negative number.
D) 6 cm, 3 cm, and 10 cm
s = (6+3+10)/2 = 9.5
9.5 is lesser than 10
If we go on to look for the area using
Area = √s(s-a)(s-b)(s-c), it would be impossible because we would end up having square root of a negative number.
So option A is the correct answer
