Find the short base $ b $ of a trapezoid if long base $a = 22$ and median $m = 19$.
Answer
$b = 16$
Explanation
To find short base $ b $ use formula:
$$ m = \frac{ a + b } { 2 } $$After substituting $ m = 19 $ and $ a = 22 $ we have:
$$ 19 = \frac{ 22 + b } { 2 } $$ $$ 19 \cdot 2 = 22 + b $$ $$ 22 + b = 38 $$ $$ b = 38 - 22 $$ $$ a = 16 $$This page was created using
Trapezoid Calculator