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If a point c lies Between two points A and b such that AC=BC , then prove that Ac=1/2Ab .explain by drawing the figure.?
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If a point c lies Between two points A and b such that AC=BC , then pr...
Proof that AC = 1/2AB when AC = BC:
Given:
- Points A, B, C are collinear such that AC = BC
To Prove:
- AC = 1/2 AB
Proof:
- Let's assume that A, C, B are points on a straight line in that order.
- Given that AC = BC, it implies that point C lies exactly in the middle of points A and B.
- Since C is the midpoint of AB, by the midpoint formula, we can say that AC = 1/2 (AB).
- Therefore, we have proved that when AC = BC, then AC = 1/2 AB.
Figure Explanation:
- In the figure, we have points A, B, and C on a straight line.
- Point C is exactly in the middle of points A and B due to the given condition that AC = BC.
- This visually represents the concept of a midpoint where AC is half the length of AB.
Conclusion:
- Hence, we have successfully proved that when point C lies between points A and B such that AC = BC, then AC = 1/2 AB. This can be visually understood from the figure provided.
Given:
- Points A, B, C are collinear such that AC = BC
To Prove:
- AC = 1/2 AB
Proof:
- Let's assume that A, C, B are points on a straight line in that order.
- Given that AC = BC, it implies that point C lies exactly in the middle of points A and B.
- Since C is the midpoint of AB, by the midpoint formula, we can say that AC = 1/2 (AB).
- Therefore, we have proved that when AC = BC, then AC = 1/2 AB.
Figure Explanation:
- In the figure, we have points A, B, and C on a straight line.
- Point C is exactly in the middle of points A and B due to the given condition that AC = BC.
- This visually represents the concept of a midpoint where AC is half the length of AB.
Conclusion:
- Hence, we have successfully proved that when point C lies between points A and B such that AC = BC, then AC = 1/2 AB. This can be visually understood from the figure provided.
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If a point c lies Between two points A and b such that AC=BC , then prove that Ac=1/2Ab .explain by drawing the figure.?
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If a point c lies Between two points A and b such that AC=BC , then prove that Ac=1/2Ab .explain by drawing the figure.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If a point c lies Between two points A and b such that AC=BC , then prove that Ac=1/2Ab .explain by drawing the figure.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a point c lies Between two points A and b such that AC=BC , then prove that Ac=1/2Ab .explain by drawing the figure.?.
If a point c lies Between two points A and b such that AC=BC , then prove that Ac=1/2Ab .explain by drawing the figure.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If a point c lies Between two points A and b such that AC=BC , then prove that Ac=1/2Ab .explain by drawing the figure.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a point c lies Between two points A and b such that AC=BC , then prove that Ac=1/2Ab .explain by drawing the figure.?.
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