Question
Find the side $ a $ of a rhombus if area $A = 480\, \text{cm}$ and incircle radius $r = 10\, \text{cm}$.
Answer
$7.6394$
Explanation
STEP 1: find height $ h $
To find height $ h $ use formula:
$$ h = 2 \cdot r $$After substituting $r = 10\, \text{cm}$ we have:
$$ h = 2 \cdot 10\, \text{cm} $$ $$ h = 20\, \text{cm} $$STEP 2: find side $ a $
To find side $ a $ use formula:
$$ A = a \cdot h $$After substituting $A = 480\, \text{cm}$ and $h = 20\, \text{cm}$ we have:
$$ 480\, \text{cm} = 20\, \text{cm} \cdot a $$$$ a = \dfrac{ 480\, \text{cm}}{ 20\, \text{cm} } $$$$ a \approx 7.6394 $$This page was created using
Rhombus Calculator