Q)

Asked by araima2001 | 4th Apr, 2017, 04:10: AM

Expert Answer:

begin mathsize 16px style From space the space given space diagram comma space
In space increment ABA subscript 1 comma
AA subscript 1 less than AB space....... left parenthesis straight i right parenthesis space space space space space space space space space open square brackets Using space AA subscript 1 less than AB plus BA subscript 1 space close square brackets
Also comma space in space increment ACA subscript 1 comma
AA subscript 1 less than AC space....... left parenthesis ii right parenthesis
From space left parenthesis straight i right parenthesis space and space left parenthesis ii right parenthesis comma
AB equals AC
Similarly space we space can space prove space that space BC equals AC.
Hence comma space AB equals BC equals AC.
increment ABC space is space equilateral space triangle.
In space equilateral space triangle space orthocentre comma space incentre comma space centroid space coincides.
Centroid space divides space median space in space the space ratio space 2 colon 1.
PA subscript 1 over AA subscript 1 plus PB subscript 1 over BB subscript 1 plus PC subscript 1 over CC subscript 1 equals 1 third plus 1 third plus 1 third equals 1 end style

Answered by Sneha shidid | 5th Apr, 2017, 02:04: PM