Question 1129415


Triangle {{{BIG }}}is similar to triangle {{{MOP}}}.


Find {{{v}}}.


{{{IG = 34}}}
{{{BG = 66}}}
{{{BI = v}}}
{{{PM = 99}}}
{{{MO = 27}}}
{{{PO }}}= not given 

similar triangles have congruent corresponding angles and corresponding proportional sides

{{{IG/PO=BG/PM =BI/MO}}}

use {{{IG/PO=BG/PM}}} to find {{{PO }}}

{{{34/PO=66/99}}}
{{{34*99=66PO}}}
{{{PO=3366/66}}}
{{{PO=51}}}

now use {{{IG/PO=BI/MO}}} to find {{{BI=v}}}

{{{34/51=v/27}}}

{{{34*27=51v}}}

{{{v=918/51}}}

{{{v=18}}}