Which of the following cannot be the sides of a triangle? (3X2=6)
(i) 4.5 cm, 3.5 cm, 6.4 cm
(ii) 2.5 cm, 3.5 cm, 6.0 cm
(iii) 2.5 cm, 4.2 cm, 8 cm
Answers
Answer:
Condition:
Sum of two sides should be greater than the third side.
i) 4.5 + 3.5 = 8 > 6.5
3.5 + 6.4 = 9.9 > 4.5
4.5 + 6.4 = 10.9 > 3.5
The sum of two sides is greater than the third side. So, they can form a triangle.
ii) 2.5 + 3.5 = 6 = 6
The sum of the two sides is equal to the sum of third side. So, it cannot form a triangle.
iii) 2.5 + 4.2 = 6.7 < 8
The sum of the two sides is lesser than the third side. So, it also cannot form a triangle.
Hope it helps you:)
Answer:
Step-by-step explanation:
Given sides are, 4.5 cm, 3.5 cm, 6.4 cm
Sum of smallest two sides = 4.5 cm + 3.5 cm = 8 cm
Since 8 cm > 6.4 cm (Triangle inequality)
The given sides form a triangle.
(ii) Given sides are 2.5 cm, 3.5 cm, 6.0 cm
Sum of smallest two sides = 2.5 cm + 3.5 cm = 6.0 cm
Since 6.0 cm = 6.0 cm
The given sides do not form a triangle.