Question

Q.17 ABCD is a trapezium in which AD||BC, ∠퐴퐵퐶 =900 AD=16cm, AC=41cm and
BC=40cm. Find the area of the trapezium.​

Answer 1

Step-by-step explanation:

The area of the given trapezium ABCD = 252 cm²

Step-by-step explanation:

For better understanding of the solution see the attached figure of the problem :

Given : m∠ABC = 90°, AD = 16 cm, AC = 41 cm and BC = 40 cm

To find : Area of trapezium ABCD

Solution : Since, m∠ABC is 90°

So, AB is the height of the trapezium ABCD

Now, to find AB : By using Pythagoras theorem in ΔABC

AC² = AB² + BC²

41² = AB² + 40²

⇒ AB² = 41² - 40²

⇒ AB = 9 cm