Question

We can derive area of trapezium using area of .

• A. triangle
• B. rhombus
• C. circle

Answer 1

The correct option is A triangle



If we cut trapezium like shown in figure(cutting through midpoint of XY i.e A), we will get $△$ZWZ' in which AX=AY,i.e the points X and Y coincides, where area of trapezium XYZW = area of $△$ZWZ'.

Area of $△$ZWZ' = $\frac{1}{2}\times base\times height$
base = a + b
height = h
Hence Area of $△$ZWZ' = $\frac{1}{2}\times (a+b)\times h$
which is equal to the area of the trapezium XYZW.