Question

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​

Answer 1

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 2

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.