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CBSE Class 10 Answered

AB is a ine segment and line L is its perpendicular bisector . If a point P lies on L show that P is equidistant from A and B.
Asked by Vip.vimal78 | 18 May, 2019, 10:12: AM
answered-by-expert Expert Answer
Let space straight C space be space the space midpoint space of space AB space
So comma space line space straight l space which space is space perpendicular space bisector space of space AB space passes space through space straight C
In space triangle PCA space and space triangle PCB
AC equals BC
rightwards double arrow angle PCA equals angle PCB space... space left parenthesis Each space 90 degree right parenthesis
PC equals PC space.... space left parenthesis Common space side right parenthesis
Therefore space using space SAS space congruence space
triangle PCA approximately equal to triangle PCB
Hence comma space PA equals PB space... space Using space straight C. straight P. straight C. straight T
Answered by Renu Varma | 18 May, 2019, 11:10: AM
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