Question

1. Find the area of triangle ABC whose vertices are:
EXERCISE 16C
6) A(1,2), B(2, 3) and (3, 4)
(6) A(-5,7), B4, 5) and C(4,5)
(ii) AG, 8), B4,2) and C(5, -1)
(iv) A(10,-6), B(2,5) and C(1,3)​

Answer 1

Answer:

ANSWER

The point are A(x

1

,y

1

)=(6,10),B(x

2

,y

2

)=(4,5) and C(x

3

,y

3

)=(3,8).

arΔABC=

2

1

{x

1

(y

2

−y

3

)+x

2

(y

3

−y

1

)+x

3

(y

1

−y

2

)}

⇒arΔABC=

2

1

{6(5−8)+4(8−10)+3(10−5)} sq. units

⇒arΔABC=5.5 sq. units