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CBSE Class 9 Answered

Q.16
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Asked by 1784393325200864 | 06 Mar, 2018, 09:56: AM
answered-by-expert Expert Answer
 
begin mathsize 16px style The space line space segments space that space can space be space drawn space to space straight a space given space line comma space from space straight a space point space not space lying space on space it comma
the space perpendicular space line space segments space is space the space shortest.
AD perpendicular BC
rightwards double arrow AB greater than AD space and space AC greater than space AD
rightwards double arrow AB plus AC greater than 2 AD space space space space space space.... left parenthesis straight i right parenthesis
Similarly comma space
BE perpendicular AC
rightwards double arrow BC greater than BE space and space AB greater than space BE
rightwards double arrow BC plus AB greater than 2 BE space space space space space space.... left parenthesis ii right parenthesis
And comma space CF perpendicular AB
rightwards double arrow AC greater than CF space and space BC greater than CF
rightwards double arrow AC plus BC greater than 2 CF space space space space space.... left parenthesis iii right parenthesis
Adding space left parenthesis straight i right parenthesis comma space left parenthesis ii right parenthesis space and space left parenthesis iii right parenthesis comma
2 left parenthesis AB plus AC plus BC right parenthesis greater than 2 left parenthesis AD plus BE plus CF right parenthesis
rightwards double arrow AB plus AC plus BC greater than AD plus BE plus CF end style
Answered by Rashmi Khot | 06 Mar, 2018, 11:04: AM
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