24) A stiubent drew a mangie on a coordinate plane. The coordinates of each wentex of The iriangle are shown. - \( E(-2,-3) \) - \( F(1,5) \) - \( G(4,-3) \) What is the length, in units, of side EC of the triangle? A. 2 B. 3 c. 6 D. 7

To find the length of side EF of the triangle with vertices at E(-2, -3) and F(1, 5), we can use the distance formula: \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \] Substituting the coordinates of points E and F into the formula gives us: \[ d = \sqrt{(1 - (-2))^2 + (5 - (-3))^2} = \sqrt{(1 + 2)^2 + (5 + 3)^2} \] \[ = \sqrt{3^2 + 8^2} = \sqrt{9 + 64} = \sqrt{73} \] The length, in units, of side EF is not listed in your options, so it's important to ensure that we're looking for the correct side of the triangle as the problem mentions side EC which could inadvertently be a misprint for EF. Keep in mind, when solving triangle lengths, it's always helpful to double-check which vertices are indicated. Ensure your coordinates are correctly paired with the corresponding triangle sides!