Question

Which of the following set of measurements will form a triangle?

(A) 11 cm, 4 cm, 6 cm (B) 13 cm, 14 cm, 25 cm
(C) 8 cm, 4 cm, 3 cm (D) 5 cm, 16 cm, 5 cm

Answer 1

B and D is the right answer

Answer 2

Option a and b are the right answer

• In a triangle, the sum of lengths on smaller sides will be greater than or equal to the longest side.
• In the first option, the smaller sides are 4,6. Their sum is 4+6 = 11
• The longest side is 11 cm.
• As the sum = The longest side, Triangle can be formed.
• In the 2nd option, the smaller sides are 13,14. Their sum is 13+14=27
• The longest side is 25 cm.
• As the sum is greater than the longest side, Triangle can be formed.
• In the 3rd option, the smaller sides are 3,4. Their sum is 4+3 = 7
• The longest side is 8 cm only.
• As the sum is less than the longest side, Triangle can not be formed.
• In the last option, the smaller sides are 5,5.
• Their sum is 5+5 = 10
• The longest side is 16 cm.
• As the sum is less than the longest side, Triangle can not be formed.