A few days ago
Anonymous

# I’m Stuck!!?

After having an argument, Romero and Julietta walk away from each other at a right angle. If Romero walks 5 miles in the same time that Julietta walks 12 miles (she was really angry), what is the shortest distance they have to travel when they decide to make up?

A few days ago
Justin B

Essentially this word problem is solving for the third side of a triangle.

Say Romero goes north for 5 miles, and Julietta walks east 12 miles, then the shortest distance between them would be a straight line (which would be diagonal). Since you know they walked at a right angle to each other, then you’re solving for the hypotenuse of a right triangle.

Recall Pythagorean Theorem for right triangles, which states c^2 = a^2 + b^2, or solving for c which is our unknown side, c = sqrt(a^2 + b^2).

So we plug in our values:

c = sqrt(25 + 144)

c = sqrt (169)

c = 13

So the shortest distance they will travel to make up is 13 miles.

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A few days ago
Anonymous
sqrt(5^2+12^2) = sqrt(169) = 13miles
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A few days ago
Anonymous
Is this the whole question?Because this doesn’t seem to make sense…
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