Question

1 point The area of triangle with vertices (-2,4),(2,K) and (5, 4) is 35 square units. Then value of Kis O 4 O -2 O 6 O -6​

Answer 1

Step-by-step explanation:

Correct option is

D

12,−2

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