Find the long base $ a $ of a trapezoid if short base $b = 13$ and median $m = 22$.
Answer
$a = 31$
Explanation
To find long base $ a $ use formula:
$$ m = \frac{ a + b } { 2 } $$After substituting $ m = 22 $ and $ b = 13 $ we have:
$$ 22 = \frac{ a + 13 } { 2 } $$ $$ 22 \cdot 2 = a + 13 $$ $$ a + 13 = 44 $$ $$ a = 44 - 13 $$ $$ a = 31 $$This page was created using
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