Question

Which list could not be the measures of lengths of the three sides of a given triangle?

5 cm, 12 cm, 15 cm
11 mi, 4 mi, 12 mi
2 ft, 6 ft, 5 ft
12 yd, 35 yd, 20 yd

Answer 1

@mathstudent55 pleas help

Answer 2

condition for triangle's sides: sum of any two sides must be larger than the other side
5 cm, 12 cm, 15 cm
-> 5 + 12 > 15; 5 + 15 > 12; 12 + 15 > 5
11 mi, 4 mi, 12 mi
-> 11 + 4 > 12; 11 + 12 > 4; 4 + 12 > 11
2 ft, 6 ft, 5 ft
-> 2 + 6 > 5; 2 + 5 > 6; 6 + 5 > 2
12 yd, 35 yd, 20 yd
-> 12 + 35 > 20; 12 + 20 < 35; 35 + 20 > 12
because 12 + 20 < 35, these measures of length: 12 yd, 35 yd, 20 yd could not be the sides of a triangle