Question

Let ABCD be a trapezium, in which AB is parallel to CD, AB = 11, BC = 4, CD = 6 and DA = 3. The distance between AB and CD is

(a) 2

(b) 2.4

(c) 2.8

(d) Not determinable with the data

Answer 1

Answer is : (b) 2.4

ABCD is a trapezium.

AB is parallel to CD.

AB = 11, BC = 4, CD = 6 and DA = 3

Construct CE is parallel to DA

∴ ∠BCE is a right angled triangle.

∴ Area of ∆BCE = 1/2 x EC x BC