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Maisy writes down the following theorem: "If a triangle has sides of length 3 cm, 4 cm, and 5 cm, then it is a right-angled triangle." (a) State the converse of Maisy’s theorem - Junior Cycle Mathematics - Question 5 - 2015
Question 5
Maisy writes down the following theorem: "If a triangle has sides of length 3 cm, 4 cm, and 5 cm, then it is a right-angled triangle." (a) State the converse of Ma... show full transcript
Worked Solution & Example Answer:Maisy writes down the following theorem: "If a triangle has sides of length 3 cm, 4 cm, and 5 cm, then it is a right-angled triangle." (a) State the converse of Maisy’s theorem - Junior Cycle Mathematics - Question 5 - 2015
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Is the converse of Maisy’s theorem true or false? Justify your answer.
Answer
The converse of Maisy’s theorem is false. For instance, a triangle with sides measuring 5 cm, 12 cm, and 13 cm is also a right-angled triangle. This shows that not all right-angled triangles conform to the specific side lengths of 3 cm, 4 cm, and 5 cm as stated in the original theorem.