Question 2 of 15beginner🔧 ApplyShort Answer3 marks
Can we say anything about the existence of a triangle for each of the following sets of lengths? (a) 10 km, 10 km and 25 km (b) 5 mm, 10 mm and 20 mm (c) 12 cm, 20 cm and 40 cm
(a)
Answer
No triangle exists. Longest side 25 km > 10 + 10 = 20 km.
(b)
Answer
No triangle exists. Longest side 20 mm > 5 + 10 = 15 mm.
(c)
Answer
No triangle exists. Longest side 40 cm > 12 + 20 = 32 cm.
Explanation
(a) Triangle inequality violated. (b) Triangle inequality violated. (c) Triangle inequality violated.