Question 462822
Rony walks 9 km due east and the 12 km bue south. How far is she from the starting point?


A right triangle is formed with legs of 9 and 12.
The hypotenuse {side across from the right angle} is the distance from the starting point.


Pythagorean Theorem
a² + b² = c² {a and b are the legs, c is the hypotenuse}


9² + 12² = c² {substituted into the pythagorean theorem}
81 + 144 = c² {squared the 9 and the 12}
225 = c² {combined like terms}
c = 15 {took the square root of both sides}


15 km from the starting point
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