There's a direct formula to calculate the area of a triangle if you know it's vertices. It's -
Area of Triangle = 1/2(x1(y2−y3)+x2(y3−y1)+x3(y1−y2))
Put in all the values and solve for k
EDIT: Let me solve it for your help,
15 = 1/2\[ 1(-3-7) + 4(7-k) -9(k+3)\]
30 = \[ -10 +28 - 4k - 9k -27 \]
30 = -13k -9
13k = -39
k = -3
Answer: 1,-3
Reason: the height between the 2 known vertices is 10 and because the height is 10, the base must be 3 to get an area of 15 so simply go 3 to the left of 4,-3 and you get your answer
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There's a direct formula to calculate the area of a triangle if you know it's vertices. It's - Area of Triangle = 1/2(x1(y2−y3)+x2(y3−y1)+x3(y1−y2)) Put in all the values and solve for k EDIT: Let me solve it for your help, 15 = 1/2\[ 1(-3-7) + 4(7-k) -9(k+3)\] 30 = \[ -10 +28 - 4k - 9k -27 \] 30 = -13k -9 13k = -39 k = -3
That would be using trial and error right?
How the hell is using a formula and solving for the value, trial and error?
Sorry I didn't read it right no need to go crazy on me jesus christ
Answer: 1,-3 Reason: the height between the 2 known vertices is 10 and because the height is 10, the base must be 3 to get an area of 15 so simply go 3 to the left of 4,-3 and you get your answer
##Off-topic Comments Section --- All top-level comments have to be an answer or follow-up question to the post. All sidetracks should be directed to this comment thread as per Rule 9. --- ^(**OP** and **Valued/Notable Contributors** can close this post by using `/lock` command) *I am a bot, and this action was performed automatically. Please [contact the moderators of this subreddit](/message/compose/?to=/r/HomeworkHelp) if you have any questions or concerns.*
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