determine if it is possible to form a triangle using the segments with the given measurements42) 8ft, 9ft, 11ft43) 7.4cm, 8.1cm, 9.8cmEXPLAIN YOUR REASONING!
Accepted Solution
A:
Answer:Part 42) Yes, It is possible o form a triangle using the segments with the given measurementsPart 43) Yes, It is possible o form a triangle using the segments with the given measurementsStep-by-step explanation:we know thatThe Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third sidePart 42) we have8ft, 9ft, 11ftApplying the triangle inequality theorema) 8+9 > 1117 ft > 11 ft ----> is true b) 9+11 > 820 ft > 8 ft ----> is truec) 8+11 > 919 ft > 9 ft ----> is truethereforeYes, It is possible o form a triangle using the segments with the given measurementsPart 43) we have7.4cm, 8.1cm, 9.8cmApplying the triangle inequality theorema) 7.4+8.1 > 9.815.5 cm > 9.8 cm ft ----> is true b) 8.1+9.8 > 7.417.9 cm > 7.4 cm ----> is truec) 7.4+9.8 > 8.117.2 cm > 8.1 cm ----> is truethereforeYes, It is possible o form a triangle using the segments with the given measurements