Question

other. Area the of triangle formed by points (1,3) ,(-214 (416) .. sq units the​

Answer 1

Step-by-step explanation:

see attachment.

∣

∣

∣

∣

2

1

[x

1

(y

2

−y

3

)+x

2

(y

3

−y

1

)+x

3

(y

1

−y

2

)]

∣

∣

∣

∣

∣

where x

1

=1, y

1

=2, x

2

=2, y

2

=4, x

3

=3 and y

3

=1

Substitute the values, we get,

Area of triangle =

∣

∣

∣

∣

∣

2

1

×[1(4−1)+2(1−2)+3(2−4)]

∣

∣

∣

∣

∣

=

∣

∣

∣

∣

∣

2

1

×[3−2−6]

∣

∣

∣

∣

∣

=

∣

∣

∣

∣

∣

2

1

×−5

∣

∣

∣

∣

∣

=

∣

∣

∣

−

2

5

∣

∣

∣

Area always in absolute value.

So, area of the triangle =

2

5

square units.