Question 1146878
You can use law of sines
{{{ a / sin(A) = b / sin(B) }}}
{{{ 8 / sin( 50 ) = b / sin( 90 - 50 ) }}}
{{{ 8 / .76604 = b / .64279 }}}
{{{ 10.44326 = b / .64279 }}}
{{{ b = 6.7128 }}}
and, also:
{{{ a / sin( A ) = c / sin( C ) }}}
{{{ 10.44326 = c / sin( 90 ) }}}
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b = 6.7128
c = 10.4433
The angle opposite the other leg is 40 degrees
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check:
{{{ a^2 + b^2 = c^2 }}}
{{{ 8^2 + 6.7128^2 = 10.4433^2 }}}
{{{ 64 + 45.0617 = 109.0625 }}}
{{{ 109.0617 = 109.0625 }}}
I think error is due to rounding off
check the math & maybe get better accuracy