Question

RING
oder AM
ample: In Fig. 6.43. the line segment
Y is parallel to side AC of A ABC and it
ivides the triangle into two parts of equal
AX
reas. Find the ratio
AB
solution: We have
ΧΑΜ
XPN
so
Therefore,
XXAC X Y HAC
(Given)
BXY = 2 A and Z BYX = 20
(Corresponding angles)
A ABC - A XBY
(AA similarity criterion)
As A AB
so
(Theorem 6.6) (D
Also
ar (ABC)
AB
ar (XBY
XB
ar (ABC) = 2 ar (XBY)
ar (ABC)
ar (XBY)
(Given
A similar so
Ef 15.4
Therefore, from (1) and (2).
AB
AB
5
11
i.e...
11
XB
XB
XB
1
12
Qr.
AB
[From
XB
AB
AB - XB - 1
AB 2
AX_2-1 2-2
1.e..
AB
EXERCISE 6.4
1. Let A ABC - A DEF and their areas be, respectively. 64 cm. and 121 cm. If EF =
15.4 cm, find BC.
2. Diagonals of a trapezium ABCD with AB II DC intersect each other at the point O.
If AB = 2 CD, find the ratio of the areas of triangles AOB and COD.​

Answer 1

Answer:

.

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