STEP 1: find side $ x $
To find side $ x $ use formula:
$$ x = \frac{ a - b } { 2 } $$After substituting $ a = 26 $ and $ b = 19 $ we have:
$$ x = \frac{ 26 - 19 } { 2 } $$ $$ x = \frac{ 7 } { 2 } $$ $$ x = \frac{ 7 }{ 2 } $$STEP 2: find height $ h $
To find height $ h $ use Pythagorean Theorem:
$$ h^2 + x^2 = c^2 $$After substituting $ x = \frac{ 7 }{ 2 } $ and $ c = 22 $ we have:
$$ h ^ {\,2} + \left(\frac{ 7 }{ 2 }\right)^2 = 22^2 $$ $$ h ^ {\,2} = 22^2 - \left(\frac{ 7 }{ 2 }\right)^2 $$ $$ h ^ {\,2} = 484 - \frac{ 49 }{ 4 } $$ $$ h ^ {\,2} = \frac{ 1887 }{ 4 } $$ $$ h = \sqrt{ \frac{ 1887 }{ 4 } } $$$$ h = \frac{\sqrt{ 1887 }}{ 2 } $$