Find the long base $ a $ of a trapezoid if short base $b = 15$ and median $m = 23$.
Answer
$a = 31$
Explanation
To find long base $ a $ use formula:
$$ m = \frac{ a + b } { 2 } $$After substituting $ m = 23 $ and $ b = 15 $ we have:
$$ 23 = \frac{ a + 15 } { 2 } $$ $$ 23 \cdot 2 = a + 15 $$ $$ a + 15 = 46 $$ $$ a = 46 - 15 $$ $$ a = 31 $$This page was created using
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