The sides of a triangle are consecutive integers. The perimeter of the triangle is 120 cm. Find the length of… · ABC26GN4460
Subject: General Aptitude · Chapter: Area · Exam: M.C.A. 2007
The sides of a triangle are consecutive integers. The perimeter of the triangle is 120 cm. Find the length of the greatest side.
(a)39 cm
(b)40 cm
(c)41 cm
(d)42 cm
Answer
Answer (as printed): C
Explanation
Let the sides of the triangle be $x \mathrm{cm},(x+1) \mathrm{cm}$ and $(x+2)$ cm respectively. Then, $x+(x+1)+(x+2)=120 \Rightarrow 3 x+3=120$ $$\Rightarrow 3 x=117 \Rightarrow x=39 .$$ ∴ Length of greatest side $=(39+2) \mathrm{cm}=41 \mathrm{cm}$.