Median of a Triangle divides it into two triangles of equal areas. Proof and examples.

0:00 - Proof 2:46 - Question1 4:24 - Question2 6:15 - Question3 8:11 - Question4 9:52 - Question5 12:30 - Question6 14:01 - Question 7 Question1 - In ΔABC, if E is the midpoint of the median AD, then prove that Area of ΔABE = (1/4)Area of ΔABC Question2 - In ΔABC, if X is any point on the median AD, then show that Area of ΔABX = Area of ΔACX Question 3 - Diagonals of a parallelogram divide it into 4 triangles of equal area. Question 4 - The diagonals AC and BD of a quadrilateral intersect at O, If BO=OD then Prove that Area of ΔABC = Area of ΔADC Question 5 - If the medians of ΔABC intersect at G, then show that Area of ΔAGB = Area of ΔAGC = Area of ΔBGC = (1/3)Area of ΔABC Question 6 - ABCD is a parallelogram of area 80m2. The diagonals AC and BD intersect at O. If P is the midpoint of OA, then find the area of ΔBOP. Question 7 - If O is the midpoint of diagonal AC of a quadrilateral ABCD, then show that Area of quad. ABOD = Area of quad. DOBC