Question

Which of the following sides forms a triangle ? a) AB-5.6, BC-3.3, AC-9cm b) AB-5.4cm, BC-10.6cm AC-53cm c) AB-8.5cm, BC-4.4cm, AC-4cm d) AB-5.1em,BC-5.2cm, BC-10.44cm ​

Answer 1

Answer:

b)

Step-by-step explanation:

a) AB = 5.6

BC = 3.3

AC = 9

For this to be triangle the sum of 2 smaller sides should be greater than the 3rd bigger side

AB + BC = 5.6 + 3.3 = 8.9 < AC so this is not a triangle

b) AB = 5.4

BC = 10.6

AC = 5.3

For this to be triangle the sum of 2 smaller sides should be greater than the 3rd bigger side

AB + AC = 5.4 + 5.3 = 10.7 > BC so this is a triangle

c) AB = 8.5

BC = 4.4

AC = 4

For this to be triangle the sum of 2 smaller sides should be greater than the 3rd bigger side

AC + BC = 4 + 4.4 = 8.4 < AB so this is not a triangle

d) AB = 5.1

BC = 5.2

AC = 10.44

For this to be triangle the sum of 2 smaller sides should be greater than the 3rd bigger side

AB + BC = 5.2 + 5.1 = 10.3 < AC so this is not a triangle