<prompt> Bala sebaka sa khutlotharo e nepahetseng e fuoeng lehlakore le le leng la 6 cm le angle ea likhato tse 60.nan  <response>: Instruction in English: Calculate the area of a right triangle given one side of 6 cm and the angle of 60 degrees. . Response in English: In any right triangle, the area can be calculated as one-half of the product of the length of the two sides that intersect to form the right angle. However, we need to find the length of one of these two sides to calculate the area. Based on the information given in the problem statement, we have enough information to determine the length of one of these two sides.Lets assume that the given side is the side opposite to the angle given in the problem statement i.e. the side we have been given is opposite to 60 degrees. Therefore, the side adjacent to this angle is formed by the given side and the hypotenuse which lies opposite the right angle of the right triangle. Using the trigonometric function of tangent; tan60 opposite adjacent, we have: adjacent opposite tan60Substituting the value of opposite 6 cm, we get: adjacent 6 cm tan60 3.46 cmNow that we have the lengths of the two sides that form the right angle, we can calculate the area of the right triangle as:area 12 base heightSubstituting the values of base and height with the values of adjacent and opposite sides, respectively:area 12 3.46 cm 6 cm 10.38 cm2The area of the given right triangle is approximately equal to 10.38 cm2. . Response in Sesotho: Ho khutlotharo leha e le efe e nepahetseng, sebaka se ka baloa e le halofo ea sehlahisoa sa bolelele ba mahlakore a mabeli a kopanang ho etsa angle e nepahetseng. Leha ho le joalo, re hloka ho fumana bolelele ba le leng la mahlakore ana a mabeli ho bala sebaka. Ho latela lintlha tse fanoeng polelong ea bothata, re na le tlhaiso-leseling e lekaneng ho fumana bolelele ba le leng la mahlakore ana a mabeli. Ha re nke hore lehlakore le fanoeng ke lehlakore le shebaneng le sekhutlo se fanoeng polelong ea bothata, ke hore, lehlakore leo re le filoeng le fapana le likhato tse 60. Ka hona, lehlakore le bapileng le sekhutlo sena le entsoe ke lehlakore le fanoeng le hypotenuse e leng ka lehlakoreng le letona ea kgutlotharo e nepahetseng. Ho sebelisa tsebetso ea trigonometric ea tangent; tan60 e fapaneng e bapileng, re na le: e bapileng e fapaneng tan60 Ho beha boleng ba ho fapana 6 cm, re fumana: e bapileng 6 cm tan60 3.46 cm Joale re na le bolelele ba mahlakore a mabeli a etsang angle e nepahetseng, re ka bala sebaka sa khutlotharo e nepahetseng e le: sebaka 12 base height Ho fetola boleng ba motheo le bophahamo ka boleng ba tse bapileng le tse fapaneng. mahlakoreng, ka ho latellana: sebaka 12 3.46 cm 6 cm 10.38 cm2 Sebaka sa kgutlotharo se nepahetseng se batla se lekana le 10.38 cm2. 