In parallelogram ABCD, P and Q are the points on the sides A B and C D. Lines AQ.and PD are intersect in K and Ifhes PC and BQ are intersect in L. Prove that the area of the rilateral PKQL is equal to the sum of the areas of the triangle A K D, Delta B L C

In the figure given below P, Q, R are the mid points of the sides of AB, BC and AC of the triangle ABC . The area of the triangle ABC is 60 sq.cm. find the area of the parallelogram APQR.

Let the position vectors of the points A, B and C be a, b and c, respectively. Let Q be the point of intersection of the medians of the DeltaABC . Then, QA + QB + QC is equal to

In the picture below, the top vertex of a triangle is joined to the midpoint of the opposite side and then the point dividing this line in the ratio 2:1 is joined to the other two vertices. Prove that the areas of all three triangles in the picture on the right are equal to a third of the area of the whole triangle

In the picture below, the top vertex of a triangle is joined to the midpont of the opposite side and then the point dividing this line in the ratio 2:1 is joined to the other two vertices: Prove that the areas of all three triangles in the picture on the are equal to a third of the area of the whole triangle.

In the figure, B D=D C, P A=P D. Area of triangle A B C is 100 sq.cm. What is the area of triangle PAB?

In the figure P is the centre of the circle A,B and D are points on the circle. angleP=90^o , AD=5 centimetres What is the area of triangle APD ? .