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mathdad
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Given A(-4, 6), B(-1, 2), and C(2, -2), show that AB + BC = AC.
Can this be done using the distance formula?
Can this be done using the distance formula?
MarkFL said:Yes, and if this is true, then what must be true of the 3 points?
The equation "AB + BC = AC" is a mathematical expression that represents the relationship between three line segments: AB, BC, and AC. It states that the sum of the lengths of AB and BC is equal to the length of AC.
"Showing" AB + BC = AC means proving that the relationship between the three line segments is true. This is often done using geometric proofs or algebraic equations to demonstrate that the sum of the lengths of AB and BC always equals the length of AC.
The equation "AB + BC = AC" is used in many mathematical concepts, such as geometry, algebra, and trigonometry. It is often used to solve problems involving triangles or other shapes, and is a fundamental principle in the study of geometry.
Understanding "AB + BC = AC" is important because it is a fundamental concept in mathematics. It is used in many real-life applications, such as in construction, architecture, and engineering. It also helps develop critical thinking and problem-solving skills.
Yes, "AB + BC = AC" can be applied to any shape that has line segments with defined lengths. This includes triangles, rectangles, circles, and more. As long as the relationship between the line segments follows the equation, it can be applied to any shape.