Question

Area of triangle formed by points A(-5,7), B(-4,5), C(1,-5) is:
a) 1
b)-15/2
c)2/9
d)0

Answer 1

Answer:

Correct option is

A

2 sq. units

Area of a triangle ABC =

2

1

∣[x

1

(y

2

−y

3

)+x

2

(y

3

−y

1

)+x

3

(y

1

−y

2

)]∣

Substituting the given coordinates, we have

=

2

1

[5(7+4))−(4+2)+7(2−7))]

=

2

1

(5(11)+4×(−6)+7×(−5))

=

2

1

[(55)−(24)−(35)]

=

2

1

×∣−4∣=2 square units