Chapter 9 Quadratic Relations and Conic Sections - 9.7 Solve Quadratic Systems - 9.7 Exercises - Problem Solving - Page 663: 41c

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In order to find the length we will find the distance between two points from part b: $d=\sqrt (x_2-x_1)^2+(y_2-y_1)^2\\=\sqrt (\frac{4}{5}+\frac{3}{5})^2+(\frac{3}{5}-\frac{4}{5})^2\\=\sqrt (0.8+0.6)^2+(0.6-0.8)^2\\=\sqrt (1.4)^2+(-0.2)^2\\=\sqrt 2\approx1.41$