<prompt> Bala sebaka sa khutlotharo u sebelisa likhokahano tsa Cartesian.x1 0, y1 0, x2 7, y2 3, x3 11, y3 6  <response>: Instruction in English: Compute the area of the triangle using Cartesian coordinates. . Response in English: Lets use the Shoelace formula to compute the area of the triangle with the given Cartesian coordinates. The Shoelace formula is used to find the area of a simple polygon whose vertices are described by their Cartesian coordinates. Given the coordinates x1, y1, x2, y2, and x3, y3, the area of the triangle can be calculated by:Area 12 x1y2 y3 x2y3 y1 x3y1 y2 Substituting the values in the above formula, we get:Area 12 03 6 76 0 110 3 Area 12 42 - 33 92 sq unitsSo, the area of the given triangle is 4.5 sq units. . Response in Sesotho: Ha re sebeliseng foromo ea Shoelace ho bala sebaka sa khutlo-tharo ka likhokahano tse fanoeng tsa Cartesian. Foromo ea Shoelace e sebelisoa ho fumana sebaka sa polygon e bonolo eo li-vertices tsa eona li hlalosoang ke likhokahano tsa bona tsa Cartesian. Ho fanoe ka likhokahano x1, y1, x2, y2, le x3, y3, sebaka sa khutlotharo se ka baloa ka: Sebaka 12 x1y2 y3 x2y3 y1 x3y1 y2 Ha re fetola boleng foromong e ka holimo, re fumana: Sebaka 12 03 6 76 0 110 3 Sebaka 12 42 - 33 92 sq units Kahoo, sebaka sa khutlotharo e fanoeng ke 4.5 sq units. 