Here are the essential concepts you must grasp in order to answer the question correctly.
Distance Formula
The distance formula is used to calculate the distance between two points in a coordinate plane. It is given by the formula d = √((x2 - x1)² + (y2 - y1)²). This concept is essential for determining the lengths of the sides of the triangle formed by the given points.
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Pythagorean Theorem
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. This theorem is crucial for verifying whether the triangle formed by the three points is a right triangle by checking if the relationship a² + b² = c² holds true.
Collinearity
Collinearity refers to the condition where three or more points lie on a single straight line. To determine if the three points form a triangle, it is important to ensure they are not collinear. If they are collinear, they cannot form a triangle, let alone a right triangle.