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decker333
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?! :(
First draw a picture of what the word problem is depicting
|dw:1358904442079:dw|
that will help you visualize it much much much better
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?
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