Find the short base $ b $ of a trapezoid if long base $a = 9$ and median $m = \frac{ 13 }{ 2 }$.
Answer
$b = 4$
Explanation
To find short base $ b $ use formula:
$$ m = \frac{ a + b } { 2 } $$After substituting $ m = \frac{ 13 }{ 2 } $ and $ a = 9 $ we have:
$$ \frac{ 13 }{ 2 } = \frac{ 9 + b } { 2 } $$ $$ \frac{ 13 }{ 2 } \cdot 2 = 9 + b $$ $$ 9 + b = 13 $$ $$ b = 13 - 9 $$ $$ a = 4 $$This page was created using
Trapezoid Calculator