The correct answer is: " c = √(a² + b²) " .
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Explanation:
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The Pythagorean theorem is: a² + b² = c² .
↔ c² = a² + b² ;
Take the square root of EACH SIDE OF THE EQUATION;
→ √(c²) = √(a² + b²) ;
→ c = √(a² + b²) ; which is one of the two answer choices given; which is correct.
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Note: The other answer choice given:
m = (y₂ − y₁) / (x₂ − x₁) ; refers to the calculation of the slope of a line; given an equation for a line, in "slope-intercept form"; that is, "y = mx +b" ; in which "m" is the slope, given the coordinate of two points on the line:
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→ (x₁, y₁) ; and: (x₂, y₂) ;
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which is NOT related to the "Pythagorean theorem" equation.
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