CBSE Class 10 Maths (Standard) 2016 · Paper 30/1 · Question 28

Coordinate Geometry 4 marks Medium

In fig. 8, the vertices of

△ A B C

are

A (4, 6)

B (1, 5)

and

C (7, 2)

. A line-segment

D E

is drawn to intersect the sides

A B

and

A C

D

and

E

respectively such that

\frac{A D}{A B} = \frac{A E}{A C} = \frac{1}{3}

. Calculate the area of

△ A D E

and compare it with area of

△ A B C

Figure 8

Answer

(△ A D E) = \frac{5}{6}

sq units and ar

(△ A D E) :

(△ A B C) = 1 : 9

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