<prompt> Bala sebaka sa khutlotharo e nang le linoka ho 2, 4, 1, 0, le 4, 5.nan  <response>: Instruction in English: Calculate the area of a triangle with vertices at 2, 4, 1, 0, and 4, 5. . Response in English: To calculate the area of a triangle with vertices at 2, 4, 1, 0, and 4, 5, we can use the formula of the determinant of a matrix, also known as the Shoelace formula.The formula for the area of a triangle with vertices x1, y1, x2, y2, and x3, y3 is given by: 0.5 x1y2 y3 x2y3 y1 x3y1 y2Substituting the values of the given points in the formula we get:Area 0.5 20-5 15-4 44-0Area 0.5 2-5 11 44Area 0.5 -10 1 16Area 0.5 7Area 3.5 square unitsThus, the area of the triangle with given vertices is 3.5 square units. . Response in Sesotho: Ho bala sebaka sa kgutlotharo se nang le dinoka ho 2, 4, 1, 0, le 4, 5, re ka sebelisa foromo ea sekhetho sa matrix, se tsejoang hape e le foromo ea Shoelace. Foromo ea sebaka sa khutlo-tharo e nang le lithapo x1, y1, x2, y2, le x3, y3 e fanoe ke: 0.5 x1y2 y3 x2y3 y1 x3 y1 y2 Ho fetola litekanyetso tsa lintlha tse fanoeng ka mokhoa oo re o fumanang: Sebaka 0.5 2 0-5 1 5-4 4 4-0 Sebaka 0.5 2-5 1 1 4 4 Sebaka 0,5 -10 1 16 Sebaka 0,5 7 Sebaka 3.5 square units Ka hona, sebaka sa khutlo-tharo se nang le li-vertices tse fanoeng ke 3.5 square units. 