Answer:
Part 42) Yes, It is possible o form a triangle using the segments with the given measurements
Part 43) Yes, It is possible o form a triangle using the segments with the given measurements
Explanation:
we know that
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
Part 42) we have
8ft, 9ft, 11ft
Applying the triangle inequality theorem
a) 8+9 > 11
17 ft > 11 ft ----> is true
b) 9+11 > 8
20 ft > 8 ft ----> is true
c) 8+11 > 9
19 ft > 9 ft ----> is true
therefore
Yes, It is possible o form a triangle using the segments with the given measurements
Part 43) we have
7.4cm, 8.1cm, 9.8cm
Applying the triangle inequality theorem
a) 7.4+8.1 > 9.8
15.5 cm > 9.8 cm ft ----> is true
b) 8.1+9.8 > 7.4
17.9 cm > 7.4 cm ----> is true
c) 7.4+9.8 > 8.1
17.2 cm > 8.1 cm ----> is true
therefore
Yes, It is possible o form a triangle using the segments with the given measurements