Inequality theorem

Topic:
Geometry

Question 1

Take sides as a =6 cm, b= 6cm and c =6 cm. can these lengths form a triangle?

Check all that apply

Question 2

now take a= 4 cm, b = 7 cm and AC =13 cm. Can these lengths form a triangle

Check all that apply

Question 3

Observation:- find relation between sum of the two sides of a triangle and third side. e.g. a+b and c b+c and a a+c and b Is sum of the two sides of a triangle is greater than, less than or equal to the third side?

Question 4

Observation:- find relation between difference of the two sides of a triangle and third side. e.g. a -b and c b -c and a a -c and b Is sum of the two sides of a triangle is greater than, less than or equal to the third side?

Question 5

Observation:- Write final inequality theorem.