Question

find the area of the trapezium whose non - parallel sides are equal and each 10 cm and parallel sides are 20 and 30 cm​

Answer 1

Step-by-step explanation:

Let's divide the trapezium into 3 parts:-

- 2 triangles

- 1 rectangle

Each non - parallel side is 10cm

Base of triangle = 30 - 20/2

= 10/2

= 5

Base of the triangle = 5cm

Height of the triangle (h)² = 10² - 5²

h² = 100 - 25

h² = 75

h = √75 = 5√3

Height of the trapezium = 5√3cm

Area of trapezium = 1/2 × (20+30) × 5√3

= 1/2 × 50 × 5√3

= 25 × 5√3

= 125√3cm2