Question
Find the long base $ a $ of a trapezoid if short base $b = 10.4\, \text{cm}$ and median $m = 9.8\, \text{cm}$.
Answer
$9.2\, \text{cm}$
Explanation
To find long base $ a $ use formula:
$$ m = \frac{ a + b } { 2 } $$After substituting $m = 9.8\, \text{cm}$ and $b = 10.4\, \text{cm}$ we have:
$$ 9.8\, \text{cm} = \frac{ a + 10.4\, \text{cm} } { 2 } $$ $$ 9.8\, \text{cm} \cdot 2 = a + 10.4\, \text{cm} $$ $$ a + 10.4\, \text{cm} = 19.6\, \text{cm} $$ $$ a = 19.6\, \text{cm} - 10.4\, \text{cm} $$ $$ a = 9.2\, \text{cm} $$This page was created using
Trapezoid Calculator