Question

The coordinates of A, B, C, and D are (6,3), (-3,5), (4,2), and (k,3k) respectively.
If ar (ADC)/ar (ABC)=1/2, find k

Answer 1

Answer:

k= 2/5

Step-by-step explanation:

The coordinate of A, B, C, D are(6,3), (-3,5),(4,2) , (K, 3k)

ar(ADC)=1

ar(ABC)=2

ar(ADC) = 1/2[6(3k-2)+k(2-3)+4(3-3k)]

1 =1/2[18k-12+k(-1)+12-12k]

1 =1/2[6k-k]

2 = 5k

5k =2

k=2/5

therefore value of K is 2/5