Line joining the mid-point of a side of a triangle to opposite vertex is Median

In a right triangle,Prove that the line-segment joining the mid-point of the hypotenuse to the opposite vertex is half the hypotenuse

The line joining the mid-points of two sides of a triangle is parallel to the third side.

Find the area of the triangle formed by joining the mid -points of the sides of the triangle ABC ,whose vertices are A(0,-1),B(2,1)andC(0,3).

Prove that the line segment joining the mid- point of the hypotenuse of a right triangle to its opposite vertex is half of the hypotenuse.

Using Theorem 6.2 ,prove that the line joining the mid-point of any two sides of a triangle is parallel to the third side.(Recall that you have done it in class IX).

Prove that the line joining the mid-points of the two sides of a triangle is parallel to the third side.

Prove that the line segment joining the mid points of two sides of a triangle is parallel to its third side.

Theorem 8.9 : The line segment joining the mid-points of two sides of a triangle is parallel to the third side.