R d sharma solutions mathematics class 9 Solutions for Chapter 15 areas of parallelograms and triangles

Which of the following figures lie on the same base and between the same parallel. In such a case, write the common base and two parallels:

In figure, compute the area of quadrilateral ABCD.

In figure, PQRS is a square and T and U are, respectively, the mid-points of PS and QR . Find the area of ΔOTS if PQ = 8 cm.

Compute the area of trapezium PQRS in figure.

In figure, ∠AOB = 90^0, AC = BC, OA = 12 cm and OC = 6.5 cm. Find the area of ΔAOB

In figure, ABCD is a trapezium in which AB || DC. Prove that ar(ΔAOD) = ar(ΔBOC)

In figure, ABCD, ABFE and CDEF are parallelograms. Prove that ar(ΔADE) = ar(ΔBCF).

Diagonals AC and BD of a quadrilateral ABCD intersect each other at P. Show that: ar(ΔAPB) x ar(ΔCPD) = ar(ΔAPD) x ar(ΔBPC).

In figure, ABC and ABD are two triangles on the base AB. If line segment CD is bisected by AB at O, show that ar(ΔABC) = ar(ΔABD).