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.

One side of an equilateral triangle is 36 cm. The mid-points of its sides are joined to form another triangle. Again another triangle is formed by joining the mid-points of the sides of this triangle and the process is continued indefinitely. Determine the sum of areas of all such triangles including the given triangle.

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.