The path consists of 4 line segments. Each line segment is the hypotenuse of a different right triangle.
length of line segment AB = [tex]\sqrt{2^{2}+5^{2} } =\sqrt{29} =5.39cm[/tex]
length of line segment BC = [tex]\sqrt{3^{2}+4^{2} } =\sqrt{25} =5cm[/tex]
length of line segment CD = [tex]\sqrt{3^{2}+5^{2} } =\sqrt{34} =5.83cm[/tex]
length of line segment DE [tex]=\sqrt{2.5^{2}+3^{2} } } =\sqrt{15.25} =3.91cm[/tex]
The total length of the spider's path is about 20.13 cm.
