Prove that a line drawn from the vertex of a triangle to its base is bisected by the line joining the mid points of the remaining two sides of the triangle.

Prove that the straight line joining the vertex of an isosceles triangle to any point in the base is smaller than either of the equal sides of the triangle.

prove that the area of a triangle is four times the area of the triangle formed by joining the mid-points of its sides.

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

Prove that if a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then the other two sides are divided in the same ratio.

Prove that the centroid of any triangle is the same as the centroid of the triangle formed by joining the middle points of its sides

In a A B C , find the measures of the angles of the triangle formed by joining the mid-points of the sides of this triangle.

In a A B C , find the measures of the angles of the triangle formed by joining the mid-points of the sides of this triangle.

Fill in the blanks to make the following statements correct The triangle formed by joining the mid-points of the sides of an isosceles triangle is .... The triangle formed by joining the mid-points of the sides of a right triangle is .......... The figure formed by joining the mid-points of consecutive sides of a quadrilateral is ....

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

If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points. Prove that the other two sides are divided in the same ratio.