Question

A quadrilateral ABCD is to be constructed with AB = 3cm, BC = 4cm, CD = 4.5 cm, AD= 2cm. What will be the maximum length of BD, if the length of BD is a whole number?

Answer 1

Since one side of a triangle cannot be greater than the sum of the other two sides, diagonal BD must be smaller than the sum of AB + AD and smaller than the sum of CB + CD. AB+ AD =5 cm and CB + CD = 8.5 cm. Hence, BD must be less than 5. But, the length of BD is a whole number. Hence, the maximum length of BD will be 4 cm