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CBSE Class 9 Answered

PROVE THAT THE TRIANGLE FORMED BY THE LINES Y=0, 4X+3Y=12 AND 4X-3Y+12=0 IS AN ISOSCELES TRIANGLE.

Asked by M.s.srinidhi21 | 27 Sep, 2014, 11:30: PM
answered-by-expert Expert Answer
y equals 0...... left parenthesis i right parenthesis 4 x plus 3 y equals 12....... left parenthesis i i right parenthesis 4 x minus 3 y equals minus 12...... left parenthesis i i i right parenthesis S o l v i n g space left parenthesis i right parenthesis space a n d space left parenthesis i i right parenthesis comma space w e space g e t space x equals 3 comma space y equals 0 S o l v i n g space left parenthesis i right parenthesis space a n d space left parenthesis i i i right parenthesis comma space w e space g e t space x equals minus 3 comma space y equals 0 S o l v i n g space left parenthesis i i right parenthesis space a n d space left parenthesis i i i right parenthesis comma space w e space g e t space x equals 0 comma space y equals 4 T h e space v e r t i c e s space o f space t h e space t r i a n g l e space a r e A left parenthesis 0 comma 4 right parenthesis comma space B left parenthesis 3 comma 0 right parenthesis comma space C left parenthesis minus 3 comma 0 right parenthesis H e r e comma space A B equals square root of 3 squared plus 4 squared end root equals 5 comma space A C equals square root of left parenthesis minus 3 right parenthesis squared plus 4 squared end root equals 5 therefore A B equals A C H e n c e space t h e space t r a i n g l e space i s space i s o s c e l e s.
Answered by Prasenjit Paul | 29 Sep, 2014, 10:33: AM

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