Find the short base $ b $ of a trapezoid if long base $a = 47$ and median $m = 39$.
Answer
$b = 31$
Explanation
To find short base $ b $ use formula:
$$ m = \frac{ a + b } { 2 } $$After substituting $ m = 39 $ and $ a = 47 $ we have:
$$ 39 = \frac{ 47 + b } { 2 } $$ $$ 39 \cdot 2 = 47 + b $$ $$ 47 + b = 78 $$ $$ b = 78 - 47 $$ $$ a = 31 $$This page was created using
Trapezoid Calculator