Question

The area of triangle whose vertices are (1, 1) (-4,6) & (-3,-5) (a) 26sq mt (b) 34 sq units (c) 24 sq units (d) 28 sq. units​

Answer 1

Answer:

Area of triangle having vertices as (x

1

,y

1

),(x

2

,y

2

),(x

3

,y

3

) is given as

=

2

1

∣

∣

∣

∣

∣

∣

∣

∣

x

1

x

2

x

3

y

1

y

2

y

3

1

1

1

∣

∣

∣

∣

∣

∣

∣

∣

⇒35=

2

1

∣

∣

∣

∣

∣

∣

∣

∣

2

5

k

−6

4

4

1

1

1

∣

∣

∣

∣

∣

∣

∣

∣

⇒35=

2

1

∣2(0)+6(5−k)+1(20−4k)∣

⇒∣50−10k∣=70

⇒50−10k=±70

⇒50−10k=70 and 50−10k=−70

⇒−10k=20 and −10k=−120

⇒k=−2 and k=12