Question

Let $ABCD$ be a trapezium, in which $AB$ is parallel to $CD,AB=11,BC=4,CD=6$ and $DA=3$. The distance between $AB$ and $CD$ is

• A. $2$
• B. $2.4$
• C. $2.8$
• D. not determinable with the data

Answer 1

The correct option is B $2.4$

$\text{Using pythagoras theorem,}{a}^2+h^2=3^2\&(5-a{)}^2+h^2=4^2$
On solving we get-
$\Rightarrow h=2.4$