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CBSE Class 10 Answered

If (-4,3) and (4,3) are two vertices of an equilateral triangle, find the coordinates of the third vertex
Asked by desana15 | 26 Aug, 2018, 01:18: PM
answered-by-expert Expert Answer
begin mathsize 18px style let space straight A space open parentheses negative 4 comma 3 close parentheses comma space straight B open parentheses 4 comma 3 close parentheses space be space the space ywo space vertices space of space equilateral space triangle
let space straight C open parentheses straight x comma straight y close parentheses space be space the space other space one
Find space AB space length space distance space formula space equals square root of open parentheses 4 plus 4 close parentheses squared plus open parentheses 3 minus 3 close parentheses squared end root equals 8
now space
using space distance space formula
AC space equals 8 space...... left parenthesis 1 right parenthesis
BC space equals space 8..... left parenthesis 2 right parenthesis
solve space both space simultaneously end style
Answered by Arun | 27 Aug, 2018, 10:01: AM
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