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I need help with this question-example-1
User Luis Vargas
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1 Answer

16 votes
16 votes

Answer:

{42, 56, 69}

Explanation:

For repetitive calculations, a spreadsheet or calculator can relieve the tedium. We're asked to evaluate the Pythagorean relation for different number sets. Here, we need to find the set of numbers such that ...

c² ≠ a² +b² . . . . . not a right triangle

This is equivalent to ...

a² +b² -c² ≠ 0

which is the formula we used in the graphing calculator shown in the attachment.

The lengths {42, 56, 69} will not form a right triangle.

_____

Additional comment

The difference of squares form used in f(x) gives a value that is related to the cosine of the largest angle in the triangle:

cos(θ) = f(a, b, c)/(2ab)

The sign of the value of f(x) is positive for acute triangles, negative for obtuse triangles. The largest angle in {42, 56, 69} is about 88.3°.

I need help with this question-example-1
User Suganth G
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