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CBSE Class 10 Answered

check whether the points [3,0],[6,4] and [-1,3] are the vertices of a right angled isosecels triangle or not  
Asked by knharies | 17 Feb, 2021, 07:46: PM
answered-by-expert Expert Answer
F i r s t space L e t apostrophe s space f i n d space t h e space d i s tan c e space b e t w e e n space e a c h space a n d space e v e r y space c o minus o r d i n a t e A left parenthesis 3 comma 0 right parenthesis B left parenthesis 6 comma 4 right parenthesis C left parenthesis negative 1 comma 3 right parenthesis A B equals square root of open parentheses 6 minus 3 close parentheses squared plus open parentheses 4 minus 0 close parentheses squared end root equals 5 A C equals square root of open parentheses negative 1 minus 3 close parentheses squared plus open parentheses 3 minus 0 close parentheses squared end root equals 5 B C equals square root of open parentheses 6 plus 1 close parentheses squared plus open parentheses 4 minus 3 close parentheses squared end root equals square root of 50 A s space w e space c a n space s e e B C squared equals A B squared plus A C squared space i. e space 50 equals 25 plus 25 H n e c e space i t space i s space a space r i g h t space a n g l e d space t r i a n g l e space w i t h space B C space a s space h y p o t e n u s e space a n d space A B equals A C thin space t h e r e f o r e space i t space i s space a n space i s o s c e l e s space r i g h t space a n g l e d space t r i a n g l e.
Answered by Utkarsh Lokhande | 18 Feb, 2021, 12:51: PM

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