PROVE THAT THE TRIANGLE WHOSE VERTICES ARE [0,-3] ,[4,0] AND [-4,0] IS AN ISOSCLES TRIANGLE.

Asked by M.s.srinidhi21 | 29th Sep, 2014, 05:11: PM

Expert Answer:

A left parenthesis 0 comma minus 3 right parenthesis comma space B left parenthesis 4 comma 0 right parenthesis space a n d space C left parenthesis minus 4 comma 0 right parenthesis U sin g space D i s tan c e space f o r m u l a comma space w e space g e t A B equals square root of left parenthesis 0 minus 4 right parenthesis squared plus left parenthesis minus 3 minus 0 right parenthesis squared end root equals 5 B C equals square root of left parenthesis 4 plus 4 right parenthesis squared plus left parenthesis 0 minus 0 right parenthesis squared end root equals 8 A C equals square root of left parenthesis 0 plus 4 right parenthesis squared plus left parenthesis minus 3 minus 0 right parenthesis squared end root equals 5 A s space A B equals A C comma space t h e r e f o r e space t h e space t r i a n g l e space i s space a n space i s o s c e l e s space t r i a n g l e.

Answered by Prasenjit Paul | 29th Sep, 2014, 06:04: PM

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