Using the distance formula, we can find the lengths of the sides of the triangle:
AB = √[(5 - (-2))² + (-6 - 7)²] = √(7² + (-13)²) = √(49 + 169) = √218
AC = √[(5 - (-2))² + (7 - 7)²] = √(7² + 0²) = 7
BC = √[(5 - 5)² + (-6 - 7)²] = √(0² + 13²) = 13
Now, using the Pythagorean theorem, we have:
AB² + BC² = AC²
(√218)² + 13² = 7²
218 + 169 = 49
387 = 49
Since the equation 387 = 49 is not true, the given points do not form a right triangle.
Therefore, we cannot apply the Pythagorean theorem in this case to find the value of c.
toga:
If I made a mistake, it's not entirely my fault. I broke my glasses and can't find my other pairs.
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