In `Delta` ABC, D is the mid-point of AB and P is any point on BC. If `CQ || PD` meets AB and Q (shown in figure), then prove that
`ar (DeltaBPQ) = (1)/(2) ar (DeltaABC)`.

In triangle ABC, D is mid-point of AB and P is any point on BC. If CQ parallel to PD meets AB at Q, prove that: 2 xx " area " (Delta BPQ) = " area "(Delta ABC)

In the adjoining figure, D is the mid-point of side AB of Delta ABC and P be any point on side BC. If CQ ||PD , then prove that: area of Delta BPQ = (1)/(2) xx " area of " Delta ABC

In Delta ABC ,D is a point in side AB and E is a point in AC. If DE is parallel to BC, and BE and CD intersect each other at point 0, prove that: " area "(Delta ACD) =" area "(Delta ABE)

In figure X and Y are the mid-points of AC and AB respectively, QP || BC and CYQ and BXP are straight lines. Prove that ar (DeltaABP) = ar (DeltaACQ) .

D is the mid-point of side AB of the triangle ABC.E is the mid-point of CD and F is the mid-point of AE. Prove that 8 xx " area of " (DeltaAFD) = " area of " Delta ABC

In the given figures, AB > AC and D is any point on BC. Prove that : AB >AD.

In triangle ABC, P is mid-point of AB and Q is mid-point of AC. If AB = 9.6 cm, BC = 11 cm and AC = 11.2 , find the perimeter of the trapezium PBCQ.

In an equilateral triangle ABC , D is the mid-point of AB and E is the mid-point of AC. Find the ratio between ar ( triangleABC ) : ar(triangleADE)

In triangle ABC, M is mid-point of AB, N is mid-point of AC and D is any point in base BC. Use Intercept Theorem to show that MN bisects AD.

If D any point on the BC of an isosceles triangle ABC then prove that AB gt AD and AC gt AD .