In the given fugure Traingle AMB~Traingle CMD. Find DM in term of a,b,

1.	In the given fugure Traingle AMB~Traingle CMD. Find DM in term of a,b,c.
Answer» According to question it is given that\xa0{tex}\\triangle \\mathrm { AMB } \\sim\\triangle \\mathrm { CMD }{/tex}{tex}\\therefore \\frac { \\mathrm { AM } } { \\mathrm { CM } } = \\frac { \\mathrm { MB } } { \\mathrm { MD } }{/tex}[ By proportionality theorem ]\xa0{tex}\\Rightarrow \\frac { y} { z} = \\frac { x } { MD } \\\\ \\Rightarrow MD = \\frac { x z } { y }{/tex}

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