Question 1128593
{{{ B[x] - A[x] = 5 -(-10) }}}
{{{ B[x] - A[x] = 15 }}}
{{{ (3/5)*15 = 9 }}}
{{{ -10 + 9 = -1 }}}
{{{ P[x] = -1 }}}
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{{{ B[y] - A[y] = 55 - 35 }}}
{{{ B[y] - A[y] = 20 }}}
{{{ (3/5)*20 = 12 }}}
{{{ 35 + 12 = 47 }}}
{{{ P[y] = 47 }}}
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A( -10, 35 ) P( -1, 47 ) =
{{{ sqrt( ( -1 -(-10) )^2 + ( 47 - 35 )^2 ) }}}
{{{ sqrt( 9^2 + 12^2 ) }}}
{{{ sqrt( 81 + 144 ) }}}
{{{ sqrt( 225 ) = 15 }}}
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P( -1, 47 ) B( 5,55 ) =
{{{ sqrt( 5 -(-1) )^2 + ( 55 - 47 )^2 ) }}}
{{{ sqrt( 6^2 + 8^2 ) }}}
{{{ sqrt( 36 + 64 ) }}}
{{{ sqrt( 100 ) = 10 }}}
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AP = 15
PB = 10
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check answer:
AB =
{{{ sqrt( ( 55 - 35 )^2 + ( 5 -(-10) )^2 ) }}}
{{{ sqrt( 20^2 + 15^2 ) }}}
{{{ sqrt( 625 ) = 25 }}}
AB = 25
OK