Question

Construct a trapezium ABCD with dimensions $AB=8cm,BC=5cm,AC=6cm,CD=4.5cm$ and $AB$ is parallel to $CD$. Find the height of the trapezium (in cm.).

• A. $4.2$
• B. $3.8$
• C. $3.6$
• D. None of these

Answer 1

The correct option is C $3.6$

$\Rightarrow$ Draw a line segment $AB=8cm$

$\Rightarrow$ Take A as a center with radius $6cm$ and draw an arc.

$\Rightarrow$ Take B as a center with radius $5cm$ and draw an arc meeting previous arc at point $C$.

$\Rightarrow$ Draw a horizontal line passing through a point $C$.

$\Rightarrow$ Cut off line $CD=4.5cm$

$\Rightarrow$ Draw a $CP\parallel AD$

$\Rightarrow$ Measure the length of $CP$.

$\Rightarrow$ $l\left(CP\right)=3.6cm$

$\therefore$ Height of trapezium is $3.6cm$