Maths-
General
Easy
Question
State and prove the Perpendicular Bisector Theorem.
The correct answer is: Hence proved.
Answer:
- To prove:
- Perpendicular Bisector Theorem:
- Proof:
- Statement:
- According to perpendicular bisector theorem, in the triangle, any point on perpendicular bisector is at equal distance from both end points of the line segment on which it is drawn.
- Step 1:
Let consider given figure,
![](data:image/png;base64,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)
Let arbitrary point C on perpendicular bisector.
In which,
CD is perpendicular bisector on AB.
Hence,
AD = DB
CD = CD (common)
![straight angle ADC equals straight angle BDC equals 90 to the power of ring operator](data:image/png;base64,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)
So, according to SAS rule
![straight triangle ACE approximately equal to straight triangle ACE](data:image/png;base64,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)
Hence,
CA = CB
So, any point on perpendicular bisector is at equal distance from end points of line segment.
Hence proved.
- Perpendicular Bisector Theorem:
- According to perpendicular bisector theorem, in the triangle, any point on perpendicular bisector is at equal distance from both end points of the line segment on which it is drawn.
Let arbitrary point C on perpendicular bisector.
In which,
CD is perpendicular bisector on AB.
Hence,
AD = DB
CD = CD (common)
So, according to SAS rule
Hence,
CA = CB
So, any point on perpendicular bisector is at equal distance from end points of line segment.
Hence proved.
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Maths-
Find AB.
![](data:image/png;base64,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)
Find AB.
![](data:image/png;base64,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)
Maths-General