Prove that the perimeter of a triangle is greater than the sum of its three medians.

Prove that the perimeter of a triangle is greater than the sum of the three medians. GIVEN: A o+ ABC in which AD,BE and CF are its medians.TO PROVE: AB+BC+AC>AD+BE+CF

Prove that the perimeter of a triangle is greater than the sum of the three medians. GIVEN : A A B C in which A D ,B E and C F are its medians. TO PROVE : A B+B C+A C > A D+B E+C F

Prove that the perimeter of a triangle is greater than the sum of its altitudes.

Prove that the perimeter of a triangle is greater than the sum of its altitudes.

Prove that the perimeter of a triangle is greater than the sum of its altitudes.

Prove that the perimeter of any triangle is greater than the sum of three altitudes.

Consider the following statements : 1. The perimeter of a triangle is greater than the sum of its three medians. 2. In any triangle ABC, if D is any point on BC, then AB + BC + CA gt 2AD. Which of the above statements is/are correct?

Prove that the sum of three altitudes drawn from the vertices to opposite sides of a triangle is less than the sum of three sides. or Prove that the perimeter of a triangle is greater than the sum of three altitudes drawn from the vertices to opposite of a triangle.

Prove that the perimeter of any quadrilateral is greater than the sum of the diagonals.

Consider the following statements in respect of any triangle I. The three medians of a triangle divide it into six triangles of equal area. II. The perimeter of a triangle is greater than the sum of the lengths of its three medians. Which of the statements given above is/are correct ?