Question

If the area of a triangle with the vertices
(k,0) , (2,0)
and
(0, 2 − )
is
2 square units, the value of
k
is ________.​

Answer 1

Answer:

Area of triangle if vertices A(x

1

,y

1

),B(x

2

,y

2

),C(x

3

,y

3

) are given

△=

2

1

∣

∣

∣

∣

∣

∣

∣

∣

1

1

1

x

1

x

2

x

3

y

1

y

2

y

3

∣

∣

∣

∣

∣

∣

∣

∣

△=

2

1

∣

∣

∣

∣

∣

∣

∣

∣

1

1

1

−2

0

0

0

4

k

∣

∣

∣

∣

∣

∣

∣

∣

4=

2

1

∣2k−8∣

⇒8=∣2k−8∣

⇒2k−8=±8

⇒k=8,0