Question

In an isosceles trapezium diagonal is inclined at angle `45^@`with the parallel sides. The height of trapezium is 12cm. How will you find out the area of the trapezium without using trigonometry?

Answer 1

`144`

Explanation:

Given `angleADE=45^@, and AE=12, => ED=12`
Let `AB=x, => EF=x, => FD=12-x, => CE=12-x`
`=> CD=(12-x)+x+(12-x)=24-x`

Area `ABDC = 1/2xx(x+24-x)xx12 =144`