Question

90. the actual length
(a) 50m (b) 125m
C 250m (d) 300m
Q.18-Class 10 students of a school have been allotted a square plot of land for their gardening
activity. Saplings of Banyan tree are planted on the boundary wall at a distance of 1m from each
other
. There is a grassy lawn in the shape of a triangle as shown in the figure. Based on the figure,
answer the following questions.
8
R
Р
To
(i) The coordinates of the Points P, Q and R (in order) are
(a) (1,4),(4,1) and (6,5) (b) (2,4),(4,2) and (5,6)
(C) (1,3)(3,1) and (5,5) (d) (1,5), (5, 1) and (6,6)
(ii) The median from Q meets PR at S. The coordinates of the point S is:
(a) 6) (b)(2) ©<) a (43)
s:​

Answer 1

Step-by-step explanation:

Answer

(i) If we take A as origin then AD is X-axis and AB is the Y-axis Then the coordinates of the vertices of △PQR is

P=(4,6),Q=(3,2),R=(6,5)

(ii) If we take C as origin then CB is X-axis and CD is the Y-axis Then the coordinates of the vertices of △PQR is

P=(12,2),Q=(13,6),R=(10,3)

Area of the triangle =

2

1

[x

1

(y

2

−y

3

)+x

2

(y

3

−y

1

)+x

3

(y

1

−y

2

)]

First case-

Area of △PQR=

2

1

[4(2−5)+3(5−6)+6(6−2)]

=

2

1

(4×−3+3×−1+6×4)

=

2

1

(−12−3+24)=

2

9

Sq.unit

Second case-

Area of △PQR=

2

1

[12(6−3)+13(3−2)+10(2−6)]

=

2

1

(12×3+13×1+10×−4)

=

2

1

(36+13−40)=

2

9

Sq.unit

Hence we observed that the area of the triangle in both case is equal.

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