Prove that any two sides of a triangle are together greater than twice the median drawn to the third side.

Prove that the sum of any two sides of a triangle is greater than twice the median drawn to the third side.

Prove that sum of any two sides of a triangle is greater than twice the median with respect to the third side.

Prove that sum of any two sides of a triangle is greater than twice the median with respect to the third side.

Prove that sum of any two sides of a triagle is greater than twice the median with respect to 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.

Which of the following statements are true (T) and which are false (F)? (i) Sum of the three sides of a triangle is less than the sum of its three altitudes. (ii) Sum of any two sides of a triangle is greater than twice the median drawn to the third side. (iii) Sum of any two sides of a triangle is greater than the third side. (iv) Difference of any two sides of a triangle is equal to the third side. (v) If two angles of a triangle are unequal, then the greater angle has the larger side opposite to it. (vi) 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.

Prove that the sum of any two sides of a triangle is greater than two times the median of third side.

Prove that sum of any two medians of a triangle is greater than the third median.

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

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