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CBSE Class 10 Answered

<div>the vertices of a triangle are A (1,2 , B (5,7) C(11 , 13). find the length of the median passing through the vertices A&nbsp;</div>
Asked by tarjindersingh55 | 02 Oct, 2017, 11:54: AM
Expert Answer
begin mathsize 16px style Let space AD space be space the space median space through space the space vertex space straight A space of space triangle space ABC. Then comma space straight D space is space the space mid minus point space of space BC. So comma space the space coordinates space of space straight D space equals space open parentheses fraction numerator 5 plus 11 over denominator 2 end fraction comma space fraction numerator 7 plus 13 over denominator 2 end fraction close parentheses equals open parentheses 16 over 2 comma space 20 over 2 close parentheses equals open parentheses 8 comma space 10 close parentheses therefore space AD equals square root of open parentheses 1 minus 8 close parentheses squared plus open parentheses 2 minus 10 close parentheses squared end root equals square root of 49 plus 64 end root equals square root of 113 space units end style
Answered by Rashmi Khot | 03 Oct, 2017, 09:29: AM

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