Sum of any two sides of a triangle is not less than the third side

Sum of any two sides of a triangle is greater than the third side.

Which of the following statements are true (T) and which are false (F)? Sum of the three sides of a triangle is less than the sum of its three altitudes. Sum of any two sides of a triangle is greater than twice the median drawn to the third side. Sum of any two sides of a triangle is greater than the third side. Difference of any two sides of a triangle is equal to the third side. If two angles of a triangle are unequal, then the greater angle has the larger side opposite to it. Of all the line segments that can be drawn from a point to a line not containing it, the perpendicular line segment is the shortest one.

Property The sum of any two sides of a triangle is greater than the third side.

Theorem 7.8 : The sum of any two sides of a triangle is greater than the third side.

The sum of any two sides of a triangle is greater than the third side. GIVE : A A B C TO PROVE : A B+A C > B C ,A B+B C > A C and B C+A C > A B CONSTRUCTION : Produce side B A to D such that A D=A Cdot Join C Ddot

Show that the difference of any two sides of a triangle is less than the third side. Given : A A B C To Prove: (i) A C-A B

Show that the difference of any two sides of a triangle is less than the third side. GIVEN : A A B C TO PROVE : (i) A C-A B

The sum of any two sides of a triangle is _______ than the third side .

Fill in the blanks to make the following statements true: In a right triangle the hypotenuse is the ...... side. The sum of three altitudes of a triangle is ......... than its perimeter. The sum of any two sides of a triangle is ......... than the third side. If two angles of a triangle are unequal, then the smaller angle has the ........... side opposite to it. Difference of any two sides of a triangle is ......... than the third side. If two sides of a triangle are unequal, then the larger side has ..... angle opposite to it.

The sum of any two sides of a triangle is always ...... than the third side.