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None of these because sum of two sides is smaller than the other side..
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Q. Which of the following set of lengths can be the third sides of a triangle?
Answer: 5.5cm, 6.5cm, 8.9cm
Step-by-step explanation:
1. 2cm, 4cm, 1.9cm
using, a+b > c, a+c > b and c+b> a
= 2 + 4 > 1.9
= 6 > 1.9
= 2 + 1.9 > 4
= 3.9 < 4
⇒ hence, it cannot be the sides of a triangle
2. 5.5cm, 6.5cm, 8.9cm
using, a+b > c, a+c > b and c+b> a
= 5.5 + 6.5 > 8.9
= 12 > 8.9
= 5.5 + 8.9 > 6.5
= 14.9 > 6.9
= 8.9 + 6.5 > 5.5
= 15.4 > 5.5
⇒ hence, it can be the sides of a triangle
3. 1.6cm, 3.7cm, 5.3cm
using, a+b > c, a+c > b and c+b> a
= 1.6 + 3.7 > 5.3
= 5.3 5.3
⇒ hence, it cannot be the sides of a triangle
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