Question

Can a triangle have sides with lengths 6 cm, 5 cm and 8 cm ? Explain.
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Answer 1

Answer:

Yes

Step-by-step explanation:

It satisfies the rule that states that the sum of any two sides of a triangle must be greater than the other.

6+5=11 which is greater than 8

6+8=14 which is greater than 5

5+8=13 which is greater than 6

Answer 2

Answer:

NO

Step-by-step explanation:

PYTHAGOREAN TRIPLET:

A²+B²=C²

⇒6²+5²=8²

⇒36+25≠64

⇒61≠64

AS IT DID NOT SATISFY THE PYTHAGOREAN THEOREM,

5CM ,6CM AND 8 CM CANNOT BE THE LENGTHS OF A TRIANGLE.