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ICSE Class 10 Answered

Proved that the equiation
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Asked by debabratap261 | 11 Mar, 2019, 02:03: PM
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In ratio and proportion, begin mathsize 12px style x over a space equals space y over b equals z over c space equals space fraction numerator x space plus space y space plus z over denominator a space plus b plus c end fraction end style
hence
begin mathsize 12px style fraction numerator x plus y over denominator 3 a minus b end fraction space equals space fraction numerator y plus z over denominator 3 b minus c end fraction equals space fraction numerator z plus x over denominator 3 c minus a end fraction space equals space fraction numerator open parentheses x plus y close parentheses begin display style plus end style begin display style open parentheses y plus z close parentheses end style begin display style plus end style begin display style open parentheses z plus x close parentheses end style over denominator open parentheses 3 a minus b close parentheses begin display style plus end style begin display style open parentheses 3 b minus c close parentheses end style begin display style plus end style begin display style open parentheses 3 c minus a close parentheses end style end fraction space equals space fraction numerator 2 open parentheses x plus y plus z close parentheses over denominator 2 open parentheses a plus b plus c close parentheses end fraction equals space fraction numerator begin display style open parentheses x plus y plus z close parentheses end style over denominator begin display style open parentheses a plus b plus c close parentheses end style end fraction n o w space fraction numerator open parentheses x plus y plus z close parentheses over denominator open parentheses a plus b plus c close parentheses end fraction space space equals space x over a equals y over b equals z over c equals space fraction numerator a x over denominator a squared end fraction space equals space fraction numerator b y over denominator b squared end fraction equals fraction numerator c z over denominator c squared end fraction equals fraction numerator a x plus b y plus c z over denominator a squared plus b squared plus c squared end fraction end style
Answered by Thiyagarajan K | 11 Mar, 2019, 08:54: PM

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