Practice30Create account

How many different triangles with whole-number sides (in cm) have a perimeter of 9 cm?

Class 7Triangle InequalityTriangles
  • A3
  • B2
  • C4
  • D1

Step-by-Step Solution

List sides a ≤ b ≤ c with a + b + c = 9 and a + b > c: (1, 4, 4), (2, 3, 4), (3, 3, 3). Sets like (1, 3, 5) or (2, 2, 5) fail. So 3 triangles.
Answer: A) 3

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Triangle Inequality practice questions

More Class 7 Triangle Inequality practice

A triangle has whole-number sides and a perimeter of 24 cm. What is the longest that any…O is a point inside triangle ABC with AB = 8 cm, BC = 9 cm and CA = 7 cm. OA + OB + OC…A triangle has sides 8 cm, 15 cm and x cm, where x is a whole number. What is the…The sides of a triangle are 5 cm, 12 cm and x cm, where x is an even whole number. How…Rakhi bends a 30 cm wire into a triangle with one side 14 cm. Can the second side be 15…