Question

nanno na If the area of Trapezium is 65 cm^2 and the sum of parallel sides is 39 cm, then find the altitude of a Trapezium​

Answer 1

Answer:

draw a triangle inside the trapezium and by using Heron’s formula, we can calculate the area of a triangle, and then find the height of the triangle which will also be the height of the trapezium and hence, we will calculate the area of the trapezium.

Heron's formula for the area of a triangle, Area = √s(s - a)(s - b)(s - c)

Where a, b and c are the sides of the triangle, and

s = Semi-perimeter = Half the Perimeter of the triangle = (a + b + c)/2

Given ABCD is a field. Draw CG ⊥ AB from C on AB, and CF parallel to DA.