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anonymous

  • one year ago

Calculating distance between two points on a coordinate plane! HELP

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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    I know the answer is 7.3 km, but how do you get that answer?

  3. anonymous
    • one year ago
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    have you learnt Pythagoras theorem?

  4. anonymous
    • one year ago
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    A little bit yeah

  5. anonymous
    • one year ago
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    I still get easily confused by this stuff, anything math related I'm usually garbage at :b

  6. anonymous
    • one year ago
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    |dw:1444030320171:dw|

  7. anonymous
    • one year ago
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    so what we do, we want to know the horizontal length and the vertical length that corresponds to both points

  8. anonymous
    • one year ago
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    |dw:1444030488093:dw|

  9. anonymous
    • one year ago
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    so apply pythagoras theorem to determine the hypotenuse (the distance between the two points)

  10. anonymous
    • one year ago
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    we always imply that the distance of two points is always the quickest/shortest distance

  11. anonymous
    • one year ago
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    \[a ^{2}+b ^{2}=c ^{2}\] where a is one side length, b is the other side length and c is the hypothenuse length

  12. anonymous
    • one year ago
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    |dw:1444030678521:dw|

  13. anonymous
    • one year ago
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    so would it be 2+8=c?

  14. anonymous
    • one year ago
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    remember each term is squared

  15. anonymous
    • one year ago
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    4+64=c ?

  16. anonymous
    • one year ago
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    even the c term is squared! haha

  17. anonymous
    • one year ago
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    oops. i made a mistake, the vertical length is not 8 units long

  18. anonymous
    • one year ago
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    it should be 7

  19. anonymous
    • one year ago
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    |dw:1444030885728:dw|

  20. anonymous
    • one year ago
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    4 + 49 = c (squared) then add 53 = c (squared)

  21. anonymous
    • one year ago
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    yep! now just square root both sides to find the answer

  22. anonymous
    • one year ago
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    7.280 from my calculator, so 7.3 km

  23. anonymous
    • one year ago
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    \[c ^{2}=54\] \[\sqrt{c ^{2}}=\sqrt{54}\] \[c=\sqrt{}\]

  24. anonymous
    • one year ago
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    yep! awesome job

  25. anonymous
    • one year ago
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    Awesome, thank you! :)

  26. anonymous
    • one year ago
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    no problem. fan and medal if you need help another time

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