The _____ of any two sides of a triangle is greater than the third side.
Which of the following statements are not correct?
a) The sum of any two sides of a triangle is greater than the third side. b) A triangle can have all its angles acute. c) A right-angled triangle cannot be equilateral. d) The difference of any two sides of a triangle is greater than the third side.
State true or false for the following statement: Sum of any two sides of a triangle is greater than the third side.
Justify the following statements with reasons:
(a) The sum of three sides of a triangle is more than the sum of its altitudes.
(b) The sum of any two sides of a triangle is greater than twice the median drawn to the third side.
(c) Difference of any two sides of triangle is less than the third side.