1
Question
How many different (mutually noncongruent) trapeziums can be constructed using four distinct side lengths from the set {1,3,4,5,6}?
How many different (mutually noncongruent) trapeziums can be constructed using four distinct side lengths from the set {1,3,4,5,6}?
Open in App
Solution
The correct option is B 11
Using property,
|a−c|<(b+d)<(a+c)
Possible cases:
(b,d)(a,c)(1,3)(5,6)(1,3)(4,5)(1,3)(4,6)(1,4)(5,6)(1,4)(3,6)(1,4)(3,5)(1,5)(4,6)(1,5)(3,6)(1,5)(3,4)(1,6)(4,5)(1,6)(3,5)
Hence total number of possible cases is 11.
Using property,
|a−c|<(b+d)<(a+c)
Possible cases:
(b,d)(a,c)(1,3)(5,6)(1,3)(4,5)(1,3)(4,6)(1,4)(5,6)(1,4)(3,6)(1,4)(3,5)(1,5)(4,6)(1,5)(3,6)(1,5)(3,4)(1,6)(4,5)(1,6)(3,5)
Hence total number of possible cases is 11.
Suggest Corrections
1
Similar questions
View More
Join BYJU'S Learning Program
Explore more
Join BYJU'S Learning Program
