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ICSE Class 10 Answered

Find the locus of the intersection of the medians of triangles described on a given base and given area.
Asked by nageswararao | 26 Mar, 2018, 11:02: PM
answered-by-expert Expert Answer
begin mathsize 16px style Let space increment ABC space with space straight A left parenthesis straight x subscript 1 comma space straight y subscript 1 comma straight z subscript 1 right parenthesis comma space straight B left parenthesis straight x subscript 2 comma space straight y subscript 2 comma straight z subscript 2 right parenthesis space and space straight C left parenthesis straight x subscript 3 comma space straight y subscript 3 comma straight z subscript 3 right parenthesis
Concurrent space point space of space medians space is space open parentheses fraction numerator straight x subscript 1 plus straight x subscript 2 plus straight x subscript 3 over denominator 3 end fraction comma fraction numerator straight y subscript 1 plus straight y subscript 2 plus straight y subscript 3 over denominator 3 end fraction close parentheses
The space centroid space of space straight a space triangle space divides space each space median space in space the space ratio space 2 colon 1.
Using space this space you space can space find space locus space with space distance space formula.
end style
Answered by Sneha shidid | 27 Mar, 2018, 10:58: AM
ICSE 10 - Maths
Asked by businessamanmayursharma | 10 Oct, 2018, 11:35: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
Asked by nageswararao | 26 Mar, 2018, 11:02: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
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