Mathematics
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 x area (△ BPQ) = area (△ ABC)
Related Questions
In trapezium ABCD, side AB is parallel to side DC. Diagonals AC and BD intersect at point P. Prove that triangles APD and BPC are equal in area.
P is the mid-point of diagonal AC of quadrilateral ABCD. Prove that the quadrilaterals ABPD and CBPD are equal in area.
In △ ABC, D is a point on side AB and E is a point on AC. If DE is parallel to BC, and BE and CD intersect each other at point O; prove that :
(i) area (△ ACD) = area (△ ABE)
(ii) area (△ OBD) = area (△ OCE)
A chord of length 16 cm is drawn in a circle of diameter 20 cm. Calculate its distance from the centre of the circle.