Question

If vertices of a triangle are (1, K) (4, -3)and (-9,7)and it's area is 15 so units then find then the value of K
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Answer 1

Answer:

K= -3

Step-by-step explanation:

x1= 1, y1= K

x2= 4, y2= -3

x3= -9, y3= 7

area= 15

1/2 ( x1 ( y2-y3) + x2 (y3-y1) +x3 (y1-y2)= 15

1(-3-7) + 4(7-K) -9( K+3)= 30

-10+28 -4K-9K-27

18-27 -13K=30

-9-13K=30

-13K=30+9

-13K=39

K=-39/13

K=-3

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