Question

The parallel sides of a trapezium are 30 cm and 20 cm. Its non parallel sides are both equal, each being 13 cm.Find the area of the traperiam.please answer with procedure to be brainliest​

Answer 1

Step-by-step explanation:

You can use the Pythagorean theorem to find the height of the trapezium. Because this is an isosceles trapezium, the difference between the two parallel sides must be split equally. This creates two right triangles with one leg 5cm and the hypotenuse of 13 cm. the other leg is √(13²- 5²) = √(169 - 25) = √(144) = 12 cm.

The area of a trapezium is A= [(b₁+b₂)h]/2

Plug in the values and evaluate: A = [(20+10)12]/2 => A = [30•12]/2 => A = 360/2 => Area = 180 cm²