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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?! :(

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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First draw a picture of what the word problem is depicting
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that will help you visualize it much much much better

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and now?
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?
a^2+b^2=c^2 right?
yup!
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
thank you! :)

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