Prev

Next

Q13 of 168 Page 5

In , P divides the side AB such that AP : PB = 1 : 2. Q is a point in AC such that . Find the ratio of the areas of and trapezium BPQC.

We know

PQ∥BC

1= AP

2 PB

In

∠A=∠A [Common]

∠APQ=∠B [Corresponding angle]

ABCAPQ

Area() =AP²

Area () AB²

ar ()___________ = 1^2/3²

ar()+ar()

9ar()= ar()+ar()

9ar()- ar()=ar()

8ar()=ar()

ar() =

ar()

More from this chapter

11

In Fig. 4.179, are on the same base BC. If AD and BC intersect at O. Prove that

12

ABCD is a trapezium in which . The diagonals AC and BD intersect at O. Prove that : (i)

(ii) If OA = 6 cm, OC = 8 cm, Find:

(a) (b)

14

The areas of two similar triangles are 100 cm² and 49 cm² respectively. If the altitude of the bigger triangle is 5 cm, find the corresponding altitude of the other.

15

The areas of two similar triangles are 121 cm² and 64 cm² respectively. If the median of the first triangle is 12.1 cm, find the corresponding median of the other.