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anonymous

  • 4 years ago

A triangle has vertices at (2, 3), (½ , –2), and (– 3, 2). What is the area of the triangle? please show me the steps

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  1. anonymous
    • 4 years ago
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    no

  2. anonymous
    • 4 years ago
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    Please can you explain

  3. anonymous
    • 4 years ago
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    Just use the formula 1/2(x1 y2 + x2 y3 + x3y1- x2y1-x3y2-x1y3)

  4. anonymous
    • 4 years ago
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    Otherwise do you know distance formula?

  5. anonymous
    • 4 years ago
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    And how to calculate distance of a point from a line?

  6. anonymous
    • 4 years ago
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    yes .I do

  7. anonymous
    • 4 years ago
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    Ah ok. So lets use co ordinate geometry . Can you tell me equation of line passing through (1/2,-2) and (3,-2)?

  8. anonymous
    • 4 years ago
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    And (-3,2) sorry

  9. razor99
    • 4 years ago
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    chealsea rules.

  10. anonymous
    • 4 years ago
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    of course it does(but thats irrevelant to finding area of a triangle. :P)

  11. anonymous
    • 4 years ago
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    y=-8/7x-10/7

  12. anonymous
    • 4 years ago
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    Ok I'll assume you did that correctly. Now find distance of (2,3) from this line.

  13. anonymous
    • 4 years ago
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    please can you explain me how to

  14. anonymous
    • 4 years ago
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    Ok Suppose i have a line ax+by+c=0. And a point h,k. Then disatnce of point from this line would be (ah+bk+c)/sqrt(a^2+b^2). If you get negative value just make it positive by removing minus sign.

  15. anonymous
    • 4 years ago
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    understood?

  16. anonymous
    • 4 years ago
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    no. I didn't

  17. anonymous
    • 4 years ago
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    You did not understand the formula? Damn. Ok In your case the line is 7y+8x+10=0. And the point is 2,3. Si a=7,b=8,c=10. h=2,k=3. Using the formula you get (7*2+8*3+10)/sqrt(64+49)=48/sqrt(113).

  18. anonymous
    • 4 years ago
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    Now is it a little bit clearer?

  19. anonymous
    • 4 years ago
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    yes

  20. anonymous
    • 4 years ago
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    good, now find distance AB.

  21. anonymous
    • 4 years ago
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    Then just do 1/2 * AB * 48/sqrt(113).

  22. anonymous
    • 4 years ago
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    answer is 47/4. Thanks for helping

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