Question

A quadrilateral has distinct integer side lengths. If the second-largest side has length 10, then the maximum possible length of the largest side is

(a) 25

(b) 26

(c) 27

(d) 28

Answer 1

Answer is : (b) 26

We have, side of quadrilateral has distinct integer second largest size has length 10.

Let a = 8, b = 9, c = 10, (All are distinct)

We know, in quadrilateral Sum of three sides is greater than fourth side

∴ a+b+c > d

⇒ 8+9+10 > d

⇒ d < 27

∴ Maximum length of 4th side is 26.