Question

considering a as origin answer question 1 to 5 considering a as the origin what are the coordinates of a what are the coordinates of P what are the coordinates of our what are the coordinates of the what are the coordinates of p if it is taken as an origin​

Answer 1

(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.