<prompt> Qetella bopaki ba hore na ke hobaneng ha moqoqo oa Theorem ea Pythagorean e le leshano.nan  <response>: Instruction in English: Complete the proof for why the converse of the Pythagorean Theorem is false. . Response in English: The converse of the Pythagorean Theorem states that the sum of the squares of the lengths of the two shorter sides of a triangle equals the square of the length of the longest side, then the triangle is a right triangle. This statement is true, however, the converse of the Pythagorean Theorem is not false.Lets prove this by contradiction. Suppose that the converse of the Pythagorean Theorem is false. That means that there exists a triangle with sides a, b, and c such that a2 b2 c2, but the triangle is not a right triangle. Now, consider the triangle with sides a, b, and c. Since a2 b2 c2, the Law of Cosines tells us that cosC -1, where C is the angle opposite side c. However, this means that angle C is 180 degrees, and therefore the triangle with sides a, b, and c is actually a degenerate triangle a straight line and is not a triangle at all. This contradicts our assumption that the triangle with sides a, b, and c is not a right triangle, and therefore the converse of the Pythagorean Theorem is true. Thus, we have proved that the converse of the Pythagorean Theorem is not false. . Response in Sesotho: Moqoqo oa Theorem ea Pythagorean o bolela hore kakaretso ea khutlo-tharo ea bolelele ba mahlakore a mabeli a makgutshwanyane a kgutlotharo e lekana le kgutlotharo ya bolelele ba lehlakore le lelelele ka ho fetisisa, ebe kgutlotharo ke kgutlotharo e nepahetseng. Polelo ena ke nete, leha ho le joalo, moqoqo oa Theorem ea Pythagoras hase oa bohata. Ha re pake sena ka ho hanyetsana. Ha re re moqoqo oa Theorem ea Pythagorean ke oa bohata. Hoo ho bolela hore ho na le kgutlotharo e nang le mahlakore a, b, le c hoo a2 b2 c2, empa kgutlotharo ha se kgutlotharo e nepahetseng. Joale, nahana ka khutlotharo e nang le mahlakore a, b, le c. Kaha a2 b2 c2, Molao oa Cosines o re bolella hore cosC -1, moo C e leng lehlakore le bapileng le c. Leha ho le joalo, sena se bolela hore angle C ke likhato tse 180, me ka hona khutlotharo e nang le mahlakore a, b, le c ha e le hantle ke khutlotharo e senyehileng mola o otlolohileng me ha se khutlotharo ho hang. Sena se hanana le maikutlo a rona a hore kgutlotharo e nang le mahlakore a, b, le c ha se kgutlotharo e nepahetseng, ka hona moqoqo wa Theorem ya Pythagorean ke nnete. Kahoo, re pakile hore moqoqo oa Theorem ea Pythagoras hase oa bohata. 