Find the short base $ b $ of a trapezoid if long base $a = 5$ and median $m = 4$.
Answer
$b = 3$
Explanation
To find short base $ b $ use formula:
$$ m = \frac{ a + b } { 2 } $$After substituting $ m = 4 $ and $ a = 5 $ we have:
$$ 4 = \frac{ 5 + b } { 2 } $$ $$ 4 \cdot 2 = 5 + b $$ $$ 5 + b = 8 $$ $$ b = 8 - 5 $$ $$ a = 3 $$This page was created using
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