Find the long base $ a $ of a trapezoid if short base $b = 98$ and median $m = 110$.
Answer
$a = 122$
Explanation
To find long base $ a $ use formula:
$$ m = \frac{ a + b } { 2 } $$After substituting $ m = 110 $ and $ b = 98 $ we have:
$$ 110 = \frac{ a + 98 } { 2 } $$ $$ 110 \cdot 2 = a + 98 $$ $$ a + 98 = 220 $$ $$ a = 220 - 98 $$ $$ a = 122 $$This page was created using
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