Determine if it is possible to form a triangle using the segments with the given measurements
42) 8ft, 9ft, 11ft
43) 7.4cm, 8.1cm, 9.8cm
explain your reasoning!

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

Step-by-step 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