The first error in the proof is the fourth reason
What are mathematical proofs?
Mathematical proofs are statements or collections of statements that are used to prove or disprove a statement, proof or theory
How to determine the first error in the proof?
To determine the first error in the proof, we simply read through the statements and the given reason
From the table in the question, we have the following conclusions
- Statement 1 is correct because the given parameter is the triangle XYZ with altitude h
- Statement 2 is correct because it represents the definition of cosine and sine
- When the equations in statement 2 are cross multiplied, they give the equations in statement 3 (by the multiplication operation). This means that statement 2 is correct
- The reason at statement 4 is incorrect. This is so because x^ = h^2 + (y - r)^2 as used in statement 4 represents the Pythagoras theorem and not the substitution property of equality
Hence, the first error in the proof is the fourth reason
Read more about mathematical proofs at:
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