In a triangle, which is not equilateral, the sides ( in cm ) are integers. The longest side is 3 cm. The perimeter of the triangle is _________

Options

A. 5 cm
B. 6cm
C. 8 cm
D. 7 cm

Answer

D

Explanation

Let the unknown side ( in cms ) be a and b.
`a,b lt 3 implies 1 lea, b le2`
`implies 2 le a+b le 4`
`implies 5 le` Perimeter ` le7 cm " "` (1)
By triangle inequality , `a+b gt 3`.
`:. ` Perimeter ` gt ` 6 cm.
`implies` Perimeter = 7 cm ( from Eq. (1)).
Hence, the correct option is (d).