anonymous one year ago Point A (-4, 2) and Point B (2, 4) lie in the xy-coordinate plane. If point C lies in the first quadrant and contains the coordinates (p, q), where p < 2 and q < 4, which of the following could be the area of triangle ABC? (Can be more than one) a. 1.1 b. 3.9 c. 11.9

1. triciaal

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2. phi

A is at (-4,2) QII

3. triciaal

Area of a triangle is half base times perpendicular height

4. triciaal

sorry @ phi thanks

5. triciaal

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6. anonymous

sorry bit confused

7. phi

I changed my mine. we can get a size of 12 so all 3 points ?

8. triciaal

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9. anonymous

so the hypotenuse would be 36 right?

10. anonymous

oh wait nvm

11. phi

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12. anonymous

how do we find c?

13. anonymous

point c*

14. phi

it seems to me if we move the third point closer to the line AB, we can make a triangle with as small an area as we want.

15. phi

we can make a triangle with area 12 (see above) and we can move the point c a little closer , so that the area is 11.9 (off-hand, we don't know where, but we know it's possible) ditto for the other two choices.

16. anonymous

where did you get 6/2 from?

17. anonymous

hmmm nvm i think i got it

18. phi

1/2 * base* height= area of triangle

19. anonymous

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20. anonymous

does this work?

21. anonymous

@phi @triciaal

22. triciaal

c 11.9 yes

23. triciaal

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24. triciaal

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25. triciaal

for some reason I think we should have 2 correct answers