Point A is 10 m west of point B. Point B is 7 m south of point C. Point D is 6 m west of point C. Point E is 7 m south of point D. Point F is 5 m east of point B. Point G is 3 m north of point F. What is the shortest distance between point B and point G?

34 m
32 m
\(\sqrt{35}\) m
\(\sqrt{34}\) m

Correct answer: \(\sqrt{34}\) m

Solution

Take B as \((0,0)\). Then F is at \((5,0)\), and G is at \((5,3)\). The shortest distance from B to G is \(\sqrt{5^2+3^2}=\sqrt{34}\) m.

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