Question 737623
Shorter leg = {{{ a}}}
Longer leg = {{{ b }}}
Hypotenuse = {{{ c }}}
given:
{{{ c = b + 4 }}}
{{{ a = 20 }}}
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{{{ a^2 + b^2 = c^2 }}}
{{{ 20^2 + b^2 = ( b + 4 )^2 }}}
{{{ 400 + b^2 = b^2 + 8b + 16 }}}
{{{ 400 = 8b + 16 }}}
{{{ 8b = 384 }}}
{{{ b = 48 }}}
The longer leg is 48 m
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check:
{{{ 20^2 + 48^2 = 52^2 }}}
{{{ 400 + 2304 = 2704 }}}
{{{ 2704 = 2704 }}}
OK