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decker333

  • 3 years ago

A person leaves house A and walks to house B and then to house C. the distance between houses A and B (hypotenuse) is 13km. the distance between houses B and C is 7km more than the distance between houses A and C algebraically determine an equation to model this situation and use it to find the direct distance between houses A and C. Help please?! :(

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  1. swin2013
    • 3 years ago
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    First draw a picture of what the word problem is depicting

  2. decker333
    • 3 years ago
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    |dw:1358904442079:dw|

  3. swin2013
    • 3 years ago
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    that will help you visualize it much much much better

  4. decker333
    • 3 years ago
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    and now?

  5. swin2013
    • 3 years ago
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    since AB is x+7 and AC is x and you have the hypotenuse... do you think you can solve it with Pythagorean theorem to find x?

  6. decker333
    • 3 years ago
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    a^2+b^2=c^2 right?

  7. swin2013
    • 3 years ago
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    yup!

  8. sriramreddy
    • 3 years ago
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    let AC = x then BC = x+7 and AB = 13. for right angle triangle x^2+(x+7)^2 = 13^2 we will get x = 5

  9. decker333
    • 3 years ago
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    thank you! :)

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